Transportation planning with modified S-curve membership functions using an interactive fuzzy multi-objective approach

In this paper, we consider the transportation planning decision (TPD) problem with fuzzy goals, available supply and forecast demand. An interactive method is designed for solving the multi-objective TPD problem where the fuzzy data are represented by modified S-curve membership functions. The propo...

Full description

Saved in:

Bibliographic Details
Published in:	Applied soft computing Vol. 11; no. 2; pp. 2656 - 2663
Main Authors:	Peidro, David, Vasant, Pandian
Format:	Journal Article
Language:	English
Published:	Elsevier B.V 01.03.2011
Subjects:	Fuzzy multi-objective programming S-curve membership function Transportation planning S-curve membership function Transportation planning Fuzzy multi-objective programming
ISSN:	1568-4946, 1872-9681
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Abstract	In this paper, we consider the transportation planning decision (TPD) problem with fuzzy goals, available supply and forecast demand. An interactive method is designed for solving the multi-objective TPD problem where the fuzzy data are represented by modified S-curve membership functions. The proposed method attempts to simultaneously minimize the total production and transportation costs and the total delivery time with reference to budget constraints and available supply, machine capacities at each source, as well as forecast demand and warehouse space constraints at each destination. An interactive fuzzy approach is applied to solve the multi-objective TPD problem and to find a preferred compromise solution. Finally, the performance of S-curve membership functions that represent uncertainty goals and constraints in TPD problems with linear membership functions in an industrial case is compared.
AbstractList	In this paper, we consider the transportation planning decision (TPD) problem with fuzzy goals, available supply and forecast demand. An interactive method is designed for solving the multi-objective TPD problem where the fuzzy data are represented by modified S-curve membership functions. The proposed method attempts to simultaneously minimize the total production and transportation costs and the total delivery time with reference to budget constraints and available supply, machine capacities at each source, as well as forecast demand and warehouse space constraints at each destination. An interactive fuzzy approach is applied to solve the multi-objective TPD problem and to find a preferred compromise solution. Finally, the performance of S-curve membership functions that represent uncertainty goals and constraints in TPD problems with linear membership functions in an industrial case is compared.
Author	Peidro, David Vasant, Pandian
Author_xml	– sequence: 1 givenname: David surname: Peidro fullname: Peidro, David email: dapeipa@cigip.upv.es, dapeipa@omp.upv.es organization: Research Center on Production Management and Engineering (CIGIP), Universidad Politécnica de Valencia, Spain – sequence: 2 givenname: Pandian surname: Vasant fullname: Vasant, Pandian email: pvasant@gmail.com organization: Fundamental & Applied Sciences Department, University Technology Petronas, Malaysia
BookMark	eNp9kMtqwzAQRUVpoUnaH-hKP-BUUmTHhm5K6AsCXTRdC1kaNTK2ZCQ7Jfn62nVXXWQ1w2XOwD1zdOm8A4TuKFlSQrP7aimjV0tGfoMlofwCzWi-ZkmR5fRy2NMsT3jBs2s0j7EiA1SwfIYOuyBdbH3oZGe9w20tnbPuC3_bbo8br62xoPFHovpwANxAU0KIe9ti0zs1IhH3cQSkw9Z1EOSQDpemP52OuOnrzia-rGBKZdsGL9X-Bl0ZWUe4_ZsL9Pn8tNu8Jtv3l7fN4zZRK867RBYFySWUWhkoAFK2NiQrU50BJ4wwpYGk2tCCronhTOUqZxkhJQeqJRijVguUT39V8DEGMELZqWkXpK0FJWL0Jyox-hOjvzEb_A0o-4e2wTYyHM9DDxMEQ6mDhSCisuAUaBsGBUJ7ew7_AXC4kNU
CitedBy_id	crossref_primary_10_1057_jors_2012_111 crossref_primary_10_1007_s00170_012_4343_5 crossref_primary_10_1088_1757_899X_263_4_042105 crossref_primary_10_1007_s42405_018_0111_6 crossref_primary_10_1016_j_asoc_2012_06_006 crossref_primary_10_1007_s41872_019_00095_y crossref_primary_10_1007_s00500_014_1497_0 crossref_primary_10_1109_JIOT_2020_3027440 crossref_primary_10_1016_j_apm_2012_01_036 crossref_primary_10_1016_j_eswa_2020_114309 crossref_primary_10_3233_JIFS_17899 crossref_primary_10_1016_j_eswa_2022_118370 crossref_primary_10_1016_j_apm_2013_05_033 crossref_primary_10_1016_j_asoc_2020_106607 crossref_primary_10_1016_j_oceaneng_2023_115033 crossref_primary_10_1007_s10479_019_03318_8 crossref_primary_10_1016_j_apm_2013_05_037 crossref_primary_10_1109_TFUZZ_2011_2114668 crossref_primary_10_1016_j_apm_2014_04_053 crossref_primary_10_2478_cait_2021_0049 crossref_primary_10_1016_j_ces_2018_11_044 crossref_primary_10_3390_sym12060934 crossref_primary_10_1002_widm_1564 crossref_primary_10_1016_j_knosys_2015_07_031 crossref_primary_10_1016_j_asoc_2013_01_014 crossref_primary_10_2478_v10170_010_0042_3 crossref_primary_10_1016_j_asoc_2015_03_046 crossref_primary_10_1016_j_engappai_2013_01_001 crossref_primary_10_1109_TFUZZ_2013_2279691 crossref_primary_10_1016_j_asoc_2011_12_020 crossref_primary_10_1016_j_cie_2021_107381 crossref_primary_10_1016_j_apm_2013_01_048 crossref_primary_10_1016_j_asoc_2013_10_001 crossref_primary_10_1061__ASCE_GM_1943_5622_0001887 crossref_primary_10_1080_00207543_2013_812261 crossref_primary_10_1016_j_asoc_2012_11_008 crossref_primary_10_3390_a14080234 crossref_primary_10_1016_j_asoc_2012_10_009 crossref_primary_10_1016_j_asoc_2015_02_007 crossref_primary_10_1016_j_eswa_2022_116663 crossref_primary_10_1080_17509653_2016_1172994 crossref_primary_10_1016_j_asoc_2015_05_024 crossref_primary_10_1016_j_asoc_2015_03_019 crossref_primary_10_1088_1742_6596_1947_1_012050 crossref_primary_10_1016_j_jmsy_2014_07_007 crossref_primary_10_1016_j_mcm_2011_08_002 crossref_primary_10_1016_j_asoc_2012_01_003 crossref_primary_10_1007_s40815_018_0470_y crossref_primary_10_1016_j_ins_2018_11_018 crossref_primary_10_4018_ijmmme_2012010104 crossref_primary_10_1007_s40815_017_0317_y crossref_primary_10_21597_jist_1107648 crossref_primary_10_1016_j_asoc_2014_02_014 crossref_primary_10_1016_j_asoc_2013_11_004 crossref_primary_10_1016_j_jmsy_2017_10_006 crossref_primary_10_1080_00207543_2014_939236 crossref_primary_10_1016_j_asoc_2013_07_004 crossref_primary_10_1007_s10462_020_09883_w
Cites_doi	10.1016/0165-0114(93)90271-I 10.1016/S0165-0114(83)80083-9 10.1142/S0960313199000222 10.1016/0165-0114(94)90333-6 10.1016/j.fss.2007.08.010 10.1287/mnsc.17.4.B141 10.1016/0165-0114(78)90029-5 10.1016/j.cie.2003.09.009 10.1016/0165-0114(88)90195-9 10.1016/0165-0114(81)90002-6 10.1016/S0925-5273(98)00206-0 10.1016/j.fss.2006.01.014 10.1080/03081069308717511 10.1016/j.fss.2005.12.003 10.1016/j.ejor.2005.11.017 10.1142/S0217595908001602 10.1016/0165-0114(78)90031-3 10.1080/03081077608547470 10.1016/j.omega.2004.08.006 10.1016/S0305-0548(99)00007-6 10.1142/S0218488505003321 10.1002/bs.3830220205 10.1007/s00170-006-0842-6 10.1007/s00170-008-1715-y 10.1016/S0377-2217(02)00731-2
ContentType	Journal Article
Copyright	2010 Elsevier B.V.
Copyright_xml	– notice: 2010 Elsevier B.V.
DBID	AAYXX CITATION
DOI	10.1016/j.asoc.2010.10.014
DatabaseName	CrossRef
DatabaseTitle	CrossRef
DatabaseTitleList
DeliveryMethod	fulltext_linktorsrc
Discipline	Computer Science
EISSN	1872-9681
EndPage	2663
ExternalDocumentID	10_1016_j_asoc_2010_10_014 S1568494610002747
GroupedDBID	--K --M .DC .~1 0R~ 1B1 1~. 1~5 23M 4.4 457 4G. 53G 5GY 5VS 6J9 7-5 71M 8P~ AABNK AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO AAYFN ABBOA ABFNM ABFRF ABJNI ABMAC ABXDB ABYKQ ACDAQ ACGFO ACGFS ACNNM ACRLP ACZNC ADBBV ADEZE ADJOM ADMUD ADTZH AEBSH AECPX AEFWE AEKER AENEX AFKWA AFTJW AGHFR AGUBO AGYEJ AHJVU AHZHX AIALX AIEXJ AIKHN AITUG AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AOUOD ASPBG AVWKF AXJTR AZFZN BJAXD BKOJK BLXMC CS3 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-Q GBLVA GBOLZ HVGLF HZ~ IHE J1W JJJVA KOM M41 MO0 N9A O-L O9- OAUVE OZT P-8 P-9 P2P PC. Q38 R2- RIG ROL RPZ SDF SDG SES SEW SPC SPCBC SST SSV SSZ T5K UHS UNMZH ~G- 9DU AATTM AAXKI AAYWO AAYXX ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD
ID	FETCH-LOGICAL-c344t-a9908aebdcfe9ee527f06b5d6e40202cde05df19170f42c8c82600b4e1daeffc3
ISICitedReferencesCount	80
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000286373200114&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	1568-4946
IngestDate	Sat Nov 29 02:08:16 EST 2025 Tue Nov 18 21:02:40 EST 2025 Fri Feb 23 02:23:08 EST 2024
IsDoiOpenAccess	false
IsOpenAccess	true
IsPeerReviewed	true
IsScholarly	true
Issue	2
Keywords	S-curve membership function Transportation planning Fuzzy multi-objective programming
Language	English
License	https://www.elsevier.com/tdm/userlicense/1.0
LinkModel	OpenURL
MergedId	FETCHMERGED-LOGICAL-c344t-a9908aebdcfe9ee527f06b5d6e40202cde05df19170f42c8c82600b4e1daeffc3
OpenAccessLink	https://www.sciencedirect.com/science/article/pii/S1568494610002747
PageCount	8
ParticipantIDs	crossref_citationtrail_10_1016_j_asoc_2010_10_014 crossref_primary_10_1016_j_asoc_2010_10_014 elsevier_sciencedirect_doi_10_1016_j_asoc_2010_10_014
PublicationCentury	2000
PublicationDate	2011-03-01
PublicationDateYYYYMMDD	2011-03-01
PublicationDate_xml	– month: 03 year: 2011 text: 2011-03-01 day: 01
PublicationDecade	2010
PublicationTitle	Applied soft computing
PublicationYear	2011
Publisher	Elsevier B.V
Publisher_xml	– name: Elsevier B.V
References	Chanas (bib0055) 1983; 11 Sakawa, Yano (bib0120) 1988; 28 Zadeh (bib0070) 1978; 1 Nowakowska (bib0145) 1977; 22 Lai, Hwang (bib0015) 1994 Peidro, Mula, Poler, Lario (bib0080) 2009; 43 Wang, Liang (bib0100) 2004; 46 Vasant, Nagarajan, Yaacob (bib0130) 2002; 1 Liu, Kao (bib0065) 2004; 153 Bellman, Zadeh (bib0110) 1970; 17 Li, Zhang, Li (bib0025) 2006; 157 Liang (bib0090) 2008; 25 Chanas, Delgado, Verdegay, Vila (bib0040) 1993; 17 Selim, Ozkarahan (bib0030) 2008; 36 Abd El-Wahed, Lee (bib0105) 2006; 34 Hannan (bib0115) 1981; 6 Li, Lai (bib0125) 2000; 27 Julien (bib0060) 1994; 64 Lai, Hwang (bib0020) 1993; 54 Torabi, Hassini (bib0005) 2008; 159 Zimmermann, Description (bib0050) 1976; 2 Bhattacharya, Vasant (bib0135) 2007; 177 Liang (bib0075) 2006; 157 Ali, De Souza, Kumar (bib0095) 1999; 9 Vasant (bib0140) 2005; 13 Zimmermann (bib0010) 1978; 1 Watada (bib0085) 1997; 13 Werners (bib0035) 1988 Shih (bib0045) 1999; 58 Liang (10.1016/j.asoc.2010.10.014_bib0075) 2006; 157 Zimmermann (10.1016/j.asoc.2010.10.014_bib0050) 1976; 2 Li (10.1016/j.asoc.2010.10.014_bib0125) 2000; 27 Shih (10.1016/j.asoc.2010.10.014_bib0045) 1999; 58 Chanas (10.1016/j.asoc.2010.10.014_bib0055) 1983; 11 Peidro (10.1016/j.asoc.2010.10.014_bib0080) 2009; 43 Liang (10.1016/j.asoc.2010.10.014_bib0090) 2008; 25 Sakawa (10.1016/j.asoc.2010.10.014_bib0120) 1988; 28 Zimmermann (10.1016/j.asoc.2010.10.014_bib0010) 1978; 1 Chanas (10.1016/j.asoc.2010.10.014_bib0040) 1993; 17 Torabi (10.1016/j.asoc.2010.10.014_bib0005) 2008; 159 Bellman (10.1016/j.asoc.2010.10.014_bib0110) 1970; 17 Lai (10.1016/j.asoc.2010.10.014_bib0020) 1993; 54 Watada (10.1016/j.asoc.2010.10.014_bib0085) 1997; 13 Bhattacharya (10.1016/j.asoc.2010.10.014_bib0135) 2007; 177 Vasant (10.1016/j.asoc.2010.10.014_bib0130) 2002; 1 Nowakowska (10.1016/j.asoc.2010.10.014_bib0145) 1977; 22 Selim (10.1016/j.asoc.2010.10.014_bib0030) 2008; 36 Li (10.1016/j.asoc.2010.10.014_bib0025) 2006; 157 Zadeh (10.1016/j.asoc.2010.10.014_bib0070) 1978; 1 Ali (10.1016/j.asoc.2010.10.014_bib0095) 1999; 9 Wang (10.1016/j.asoc.2010.10.014_bib0100) 2004; 46 Abd El-Wahed (10.1016/j.asoc.2010.10.014_bib0105) 2006; 34 Vasant (10.1016/j.asoc.2010.10.014_bib0140) 2005; 13 Lai (10.1016/j.asoc.2010.10.014_bib0015) 1994 Werners (10.1016/j.asoc.2010.10.014_bib0035) 1988 Julien (10.1016/j.asoc.2010.10.014_bib0060) 1994; 64 Hannan (10.1016/j.asoc.2010.10.014_bib0115) 1981; 6 Liu (10.1016/j.asoc.2010.10.014_bib0065) 2004; 153
References_xml	– volume: 177 start-page: 55 year: 2007 end-page: 70 ident: bib0135 article-title: Soft-sensing of level of satisfaction in TOC product-mix decision heuristic using robust fuzzy-LP publication-title: European Journal of Operational Research – year: 1994 ident: bib0015 article-title: Fuzzy Multiple Objective Decision Making – volume: 159 start-page: 193 year: 2008 end-page: 214 ident: bib0005 article-title: An interactive possibilistic programming approach for multiple objective supply chain master planning publication-title: Fuzzy Sets and Systems – volume: 13 start-page: 219 year: 1997 end-page: 248 ident: bib0085 article-title: Fuzzy portfolio selection and its applications to decision making publication-title: Tatra Mountains Mathematics Publication – volume: 43 start-page: 400 year: 2009 end-page: 420 ident: bib0080 article-title: Quantitative models for supply chain planning under uncertainty: a review publication-title: The International Journal of Advanced Manufacturing Technology – volume: 34 start-page: 158 year: 2006 end-page: 166 ident: bib0105 article-title: Interactive fuzzy goal programming for multi-objective transportation problems publication-title: Omega-International Journal of Management Science – volume: 153 start-page: 661 year: 2004 end-page: 674 ident: bib0065 article-title: Solving fuzzy transportation problems based on extension principle publication-title: European Journal of Operational Research – volume: 17 start-page: 203 year: 1993 end-page: 218 ident: bib0040 article-title: Interval and fuzzy extensions of classical transportation problems publication-title: Transportation Planning and Technology – volume: 13 start-page: 97 year: 2005 end-page: 109 ident: bib0140 article-title: Solving fuzzy linear programming problems with modified S-curve membership function publication-title: International Journal of Uncertainty Fuzziness and Knowledge-Based Systems – volume: 25 start-page: 11 year: 2008 end-page: 31 ident: bib0090 article-title: Interactive multi-objective transportation planning decisions using fuzzy linear programming publication-title: Asia-Pacific Journal of Operational Research – volume: 22 start-page: 21 year: 1977 end-page: 33 ident: bib0145 article-title: Methodological problems of measurement of fuzzy concepts in the social sciences publication-title: Behavioral Science – volume: 1 start-page: 1 year: 2002 end-page: 16 ident: bib0130 article-title: Decision making using modified S-curve membership function in fuzzy linear programming problem publication-title: Journal of Information and Communication Technology – volume: 28 start-page: 129 year: 1988 end-page: 144 ident: bib0120 article-title: An interactive fuzzy satisfying method for multiobjective linear fractional-programming problems publication-title: Fuzzy Sets and Systems – volume: 1 start-page: 3 year: 1978 end-page: 28 ident: bib0070 article-title: Fuzzy sets as a basis for a theory of possibility publication-title: Fuzzy Sets and Systems – volume: 58 start-page: 277 year: 1999 end-page: 287 ident: bib0045 article-title: Cement transportation planning via fuzzy linear programming publication-title: International Journal of Production Economics – volume: 2 start-page: 209 year: 1976 end-page: 215 ident: bib0050 article-title: Optimization of fuzzy systems publication-title: International Journal of General Systems – volume: 9 start-page: 299 year: 1999 end-page: 311 ident: bib0095 article-title: Intelligent simulation environment for printed circuit board assembly publication-title: Journal of Electronics Manufacturing – volume: 17 start-page: 141 year: 1970 end-page: 164 ident: bib0110 article-title: Decision-making in a fuzzy environment publication-title: Management Science – volume: 27 start-page: 43 year: 2000 end-page: 57 ident: bib0125 article-title: A fuzzy approach to the multiobjective transportation problem publication-title: Computers and Operations Research – start-page: 295 year: 1988 end-page: 305 ident: bib0035 article-title: Aggregation models in mathematical programming. publication-title: Mathematical Models for Decision Support – volume: 11 start-page: 243 year: 1983 end-page: 251 ident: bib0055 article-title: The use of parametric programming in fuzzy linear-programming publication-title: Fuzzy Sets and Systems – volume: 64 start-page: 195 year: 1994 end-page: 206 ident: bib0060 article-title: An extension to possibilistic linear-programming publication-title: Fuzzy Sets and Systems – volume: 1 start-page: 45 year: 1978 end-page: 55 ident: bib0010 article-title: Fuzzy programming and linear programming with several objective functions publication-title: Fuzzy Sets and Systems – volume: 54 start-page: 135 year: 1993 end-page: 146 ident: bib0020 article-title: Possibilistic linear-programming for managing interest-rate risk publication-title: Fuzzy Sets and Systems – volume: 157 start-page: 1328 year: 2006 end-page: 1332 ident: bib0025 article-title: Computing efficient solutions to fuzzy multiple objective linear programming problems publication-title: Fuzzy Sets and Systems – volume: 46 start-page: 17 year: 2004 end-page: 41 ident: bib0100 article-title: Application of fuzzy multi-objective linear programming to aggregate production planning publication-title: Computers and Industrial Engineering – volume: 36 start-page: 401 year: 2008 end-page: 418 ident: bib0030 article-title: A supply chain distribution network design model: an interactive fuzzy goal programming-based solution approach publication-title: International Journal of Advanced Manufacturing Technology – volume: 157 start-page: 1303 year: 2006 end-page: 1316 ident: bib0075 article-title: Distribution planning decisions using interactive fuzzy multi-objective linear programming publication-title: Fuzzy Sets and Systems – volume: 6 start-page: 235 year: 1981 end-page: 248 ident: bib0115 article-title: Linear-programming with multiple fuzzy goals publication-title: Fuzzy Sets and Systems – volume: 54 start-page: 135 year: 1993 ident: 10.1016/j.asoc.2010.10.014_bib0020 article-title: Possibilistic linear-programming for managing interest-rate risk publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(93)90271-I – volume: 11 start-page: 243 year: 1983 ident: 10.1016/j.asoc.2010.10.014_bib0055 article-title: The use of parametric programming in fuzzy linear-programming publication-title: Fuzzy Sets and Systems doi: 10.1016/S0165-0114(83)80083-9 – volume: 1 start-page: 1 year: 2002 ident: 10.1016/j.asoc.2010.10.014_bib0130 article-title: Decision making using modified S-curve membership function in fuzzy linear programming problem publication-title: Journal of Information and Communication Technology – volume: 9 start-page: 299 year: 1999 ident: 10.1016/j.asoc.2010.10.014_bib0095 article-title: Intelligent simulation environment for printed circuit board assembly publication-title: Journal of Electronics Manufacturing doi: 10.1142/S0960313199000222 – volume: 64 start-page: 195 year: 1994 ident: 10.1016/j.asoc.2010.10.014_bib0060 article-title: An extension to possibilistic linear-programming publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(94)90333-6 – volume: 159 start-page: 193 year: 2008 ident: 10.1016/j.asoc.2010.10.014_bib0005 article-title: An interactive possibilistic programming approach for multiple objective supply chain master planning publication-title: Fuzzy Sets and Systems doi: 10.1016/j.fss.2007.08.010 – volume: 17 start-page: 141 year: 1970 ident: 10.1016/j.asoc.2010.10.014_bib0110 article-title: Decision-making in a fuzzy environment publication-title: Management Science doi: 10.1287/mnsc.17.4.B141 – volume: 1 start-page: 3 year: 1978 ident: 10.1016/j.asoc.2010.10.014_bib0070 article-title: Fuzzy sets as a basis for a theory of possibility publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(78)90029-5 – volume: 46 start-page: 17 year: 2004 ident: 10.1016/j.asoc.2010.10.014_bib0100 article-title: Application of fuzzy multi-objective linear programming to aggregate production planning publication-title: Computers and Industrial Engineering doi: 10.1016/j.cie.2003.09.009 – volume: 28 start-page: 129 year: 1988 ident: 10.1016/j.asoc.2010.10.014_bib0120 article-title: An interactive fuzzy satisfying method for multiobjective linear fractional-programming problems publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(88)90195-9 – volume: 6 start-page: 235 year: 1981 ident: 10.1016/j.asoc.2010.10.014_bib0115 article-title: Linear-programming with multiple fuzzy goals publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(81)90002-6 – volume: 58 start-page: 277 year: 1999 ident: 10.1016/j.asoc.2010.10.014_bib0045 article-title: Cement transportation planning via fuzzy linear programming publication-title: International Journal of Production Economics doi: 10.1016/S0925-5273(98)00206-0 – volume: 157 start-page: 1303 year: 2006 ident: 10.1016/j.asoc.2010.10.014_bib0075 article-title: Distribution planning decisions using interactive fuzzy multi-objective linear programming publication-title: Fuzzy Sets and Systems doi: 10.1016/j.fss.2006.01.014 – volume: 17 start-page: 203 year: 1993 ident: 10.1016/j.asoc.2010.10.014_bib0040 article-title: Interval and fuzzy extensions of classical transportation problems publication-title: Transportation Planning and Technology doi: 10.1080/03081069308717511 – volume: 13 start-page: 219 year: 1997 ident: 10.1016/j.asoc.2010.10.014_bib0085 article-title: Fuzzy portfolio selection and its applications to decision making publication-title: Tatra Mountains Mathematics Publication – year: 1994 ident: 10.1016/j.asoc.2010.10.014_bib0015 – volume: 157 start-page: 1328 year: 2006 ident: 10.1016/j.asoc.2010.10.014_bib0025 article-title: Computing efficient solutions to fuzzy multiple objective linear programming problems publication-title: Fuzzy Sets and Systems doi: 10.1016/j.fss.2005.12.003 – volume: 177 start-page: 55 year: 2007 ident: 10.1016/j.asoc.2010.10.014_bib0135 article-title: Soft-sensing of level of satisfaction in TOC product-mix decision heuristic using robust fuzzy-LP publication-title: European Journal of Operational Research doi: 10.1016/j.ejor.2005.11.017 – volume: 25 start-page: 11 year: 2008 ident: 10.1016/j.asoc.2010.10.014_bib0090 article-title: Interactive multi-objective transportation planning decisions using fuzzy linear programming publication-title: Asia-Pacific Journal of Operational Research doi: 10.1142/S0217595908001602 – volume: 1 start-page: 45 year: 1978 ident: 10.1016/j.asoc.2010.10.014_bib0010 article-title: Fuzzy programming and linear programming with several objective functions publication-title: Fuzzy Sets and Systems doi: 10.1016/0165-0114(78)90031-3 – volume: 2 start-page: 209 year: 1976 ident: 10.1016/j.asoc.2010.10.014_bib0050 article-title: Optimization of fuzzy systems publication-title: International Journal of General Systems doi: 10.1080/03081077608547470 – start-page: 295 year: 1988 ident: 10.1016/j.asoc.2010.10.014_bib0035 article-title: Aggregation models in mathematical programming. – volume: 34 start-page: 158 year: 2006 ident: 10.1016/j.asoc.2010.10.014_bib0105 article-title: Interactive fuzzy goal programming for multi-objective transportation problems publication-title: Omega-International Journal of Management Science doi: 10.1016/j.omega.2004.08.006 – volume: 27 start-page: 43 year: 2000 ident: 10.1016/j.asoc.2010.10.014_bib0125 article-title: A fuzzy approach to the multiobjective transportation problem publication-title: Computers and Operations Research doi: 10.1016/S0305-0548(99)00007-6 – volume: 13 start-page: 97 year: 2005 ident: 10.1016/j.asoc.2010.10.014_bib0140 article-title: Solving fuzzy linear programming problems with modified S-curve membership function publication-title: International Journal of Uncertainty Fuzziness and Knowledge-Based Systems doi: 10.1142/S0218488505003321 – volume: 22 start-page: 21 year: 1977 ident: 10.1016/j.asoc.2010.10.014_bib0145 article-title: Methodological problems of measurement of fuzzy concepts in the social sciences publication-title: Behavioral Science doi: 10.1002/bs.3830220205 – volume: 36 start-page: 401 year: 2008 ident: 10.1016/j.asoc.2010.10.014_bib0030 article-title: A supply chain distribution network design model: an interactive fuzzy goal programming-based solution approach publication-title: International Journal of Advanced Manufacturing Technology doi: 10.1007/s00170-006-0842-6 – volume: 43 start-page: 400 year: 2009 ident: 10.1016/j.asoc.2010.10.014_bib0080 article-title: Quantitative models for supply chain planning under uncertainty: a review publication-title: The International Journal of Advanced Manufacturing Technology doi: 10.1007/s00170-008-1715-y – volume: 153 start-page: 661 year: 2004 ident: 10.1016/j.asoc.2010.10.014_bib0065 article-title: Solving fuzzy transportation problems based on extension principle publication-title: European Journal of Operational Research doi: 10.1016/S0377-2217(02)00731-2
SSID	ssj0016928
Score	2.3107002
Snippet	In this paper, we consider the transportation planning decision (TPD) problem with fuzzy goals, available supply and forecast demand. An interactive method is...
SourceID	crossref elsevier
SourceType	Enrichment Source Index Database Publisher
StartPage	2656
SubjectTerms	Fuzzy multi-objective programming S-curve membership function Transportation planning
Title	Transportation planning with modified S-curve membership functions using an interactive fuzzy multi-objective approach
URI	https://dx.doi.org/10.1016/j.asoc.2010.10.014
Volume	11
WOSCitedRecordID	wos000286373200114&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
journalDatabaseRights	– providerCode: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1872-9681 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0016928 issn: 1568-4946 databaseCode: AIEXJ dateStart: 20010601 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV3Pa9swFBZZusMuW_eLtluHDrsVjdiW9eNYSsc2Rim0g9yMLEuQ0DohiUPXe__v6lmS42WlbINdTBCR7eh9eXp-ft_3EPpIS5tkTFOibG4IldQSQRNFkoS76EgnOTetzux3fnYmxmN5PhjcRS7M-orXtbi5kfP_amo35owN1Nm_MHd3UjfgPjuju6Mzuzv-meGjXLk37Tx0JfIZ1-tZNbEQdV4Q3SzW5ujaQEeQtmQLtjhfF9csPXWxFZNoaVSgDd7c3v70BYhkVk69o-w0yftBboxsl87FtzXrzSpukK0TnlSeXNOrp4eOX0vlNRDOgWkTQFttEqxZPx_xO1HG-1UmAAlB9dqPCZ4SyXzHls4ZJz3QpX3PynLW26VdXJE9uAP4ZMT0k3Lg9pV7ULzniapbytoXcFdwU4mX8eFP0E7KcymGaOf46-n4W_c6ism2SW_3KwL7yhcKbl_p4QinF7Vc7qLn4XEDH3uYvEQDU79CL2IrDxw8-2u0_hU1OKIGA2pwRA0OqMEb1OAONbhFDVY17qEGt6jBW6jBETVv0I_Pp5cnX0hoyUF0RumKKBe8CGXKSlsjjclTbkeszCtmIA-R6sqM8spCDmBkaaqFFtAAoaQmqZSxVmdv0bCe1WYPYaqAB60ML5mimZIqNVIrJvRISZ7xbB8lcRkLHfTqoW3KVRELE6cFLH0BSw9jbun30VE3Z-7VWh79dh6tU4R408eRhQPTI_MO_nHeO_Rs84d5j4arRWMO0VO9Xk2Wiw8Bc_d5TKv9
linkProvider	Elsevier
openUrl	ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Transportation+planning+with+modified+S-curve+membership+functions+using+an+interactive+fuzzy+multi-objective+approach&rft.jtitle=Applied+soft+computing&rft.au=Peidro%2C+David&rft.au=Vasant%2C+Pandian&rft.date=2011-03-01&rft.pub=Elsevier+B.V&rft.issn=1568-4946&rft.eissn=1872-9681&rft.volume=11&rft.issue=2&rft.spage=2656&rft.epage=2663&rft_id=info:doi/10.1016%2Fj.asoc.2010.10.014&rft.externalDocID=S1568494610002747
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1568-4946&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1568-4946&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1568-4946&client=summon