Applications of fuzzy linear programming with generalized LR flat fuzzy parameters
In this paper, the limitations of existing methods to solve the problems of fuzzy assignment, fuzzy travelling salesman and fuzzy generalized assignment are pointed out. All these problems can be formulated in linear programming problems wherein the decision variables are represented by real numbers...
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| Vydané v: | Fuzzy information and engineering Ročník 5; číslo 4; s. 475 - 492 |
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| Hlavní autori: | , , |
| Médium: | Journal Article |
| Jazyk: | English |
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Berlin/Heidelberg
Springer Berlin Heidelberg
01.12.2013
Taylor & Francis Group |
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| ISSN: | 1616-8658, 1616-8666 |
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| Abstract | In this paper, the limitations of existing methods to solve the problems of fuzzy assignment, fuzzy travelling salesman and fuzzy generalized assignment are pointed out. All these problems can be formulated in linear programming problems wherein the decision variables are represented by real numbers and other parameters are represented by fuzzy numbers. To overcome the limitations of existing methods, a new method is proposed. The advantage of proposed method over existing methods is demonstrated by solving the problems mentioned above which can or cannot be solved by using the existing methods. |
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| AbstractList | In this paper, the limitations of existing methods to solve the problems of fuzzy assignment, fuzzy travelling salesman and fuzzy generalized assignment are pointed out. All these problems can be formulated in linear programming problems wherein the decision variables are represented by real numbers and other parameters are represented by fuzzy numbers. To overcome the limitations of existing methods, a new method is proposed. The advantage of proposed method over existing methods is demonstrated by solving the problems mentioned above which can or cannot be solved by using the existing methods. |
| Author | Sharma, Mahesh Kumar Gupta, Anila Kumar, Amit |
| Author_xml | – sequence: 1 givenname: Anila surname: Gupta fullname: Gupta, Anila email: anilasingal@gmail.com organization: Shaheed Bhagat Singh State Technical Campus – sequence: 2 givenname: Amit surname: Kumar fullname: Kumar, Amit email: amit_rs_iitr@yahoo.com organization: School of Mathematics and Computer Applications, Thapar University – sequence: 3 givenname: Mahesh Kumar surname: Sharma fullname: Sharma, Mahesh Kumar email: mksharma69@thapar.edu organization: School of Mathematics and Computer Applications, Thapar University |
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| Cites_doi | 10.1007/s12543-011-0062-0 10.1007/s12543-010-0036-7 10.1504/EJIE.2010.033336 10.1080/01969727308545912 10.1504/IJMOR.2010.035498 10.1504/EJIE.2010.031077 10.1016/j.eswa.2008.08.015 10.1016/j.apm.2008.10.020 10.1007/s12543-009-0026-9 10.1007/s10479-006-7390-1 10.1016/j.amc.2005.11.161 10.1287/mnsc.17.4.B141 10.1142/S0218488510006532 10.1016/0165-0114(94)90206-2 10.1016/S0165-0114(98)00066-9 10.1007/s12543-009-0004-2 10.1109/TSMC.1984.6313219 10.1016/j.eswa.2011.02.131 10.1016/0165-0114(78)90031-3 10.5373/jaram.647.112410 10.1007/s10489-006-0003-5 10.1016/j.fss.2007.05.005 10.1016/0020-0255(81)90017-7 10.4018/joris.2011010105 |
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| Keywords | Fuzzy travelling salesman problem flat fuzzy number Fuzzy assignment problem Fuzzy generalized assignment problem Generalized |
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| References | Mukherjee, Basu (CR22) 2010; 5 Nasseri, Mahdavi-Amiri (CR26) 2009; 1 Chen, Chen (CR3) 2007; 26 Nasseri, Ebrahimnejad (CR25) 2010; 5 Mahdavi-Amiri, Nasseri, Yazdani (CR19) 2009; 1 Ebrahimnejad, Nasseri (CR5) 2009; 3 Inuiguchi, Sakawa (CR11) 1994; 67 Ganesan, Veeramani (CR10) 2006; 143 Kumar, Singh, Kaur, Kaur (CR15) 2011; 38 Nasseri, Ebrahimnejad (CR24) 2010; 4 Yager (CR29) 1981; 24 Bellman, Zadeh (CR1) 1970; 17 Kumar, Gupta (CR12) 2011; 3 Ebrahimnejad, Nasseri, Lotfi, Soltanifar (CR8) 2010; 4 Kumar, Singh, Kaur, Kaur (CR14) 2010; 1 Ebrahimnejad, Nasseri, Mansourzadeh (CR9) 2011; 2 Ebrahimnejad, Nasseri, Lotfi (CR7) 2010; 18 Chen (CR2) 1985; 6 Kumar, Gupta (CR13) 2011; 3 Mukherjee, Basu (CR21) 2010; 5 Chen, Chen (CR4) 2009; 36 Zimmermann (CR30) 1978; 1 Ebrahimnejad, Nasseri (CR6) 2010; 2 Mahdavi-Amiri, Nasseri (CR17) 2006; 180 Lotfi, Allahviranloo, Jondabeh, Alizadeh (CR16) 2009; 33 Maleki, Tata, Mashinchi (CR20) 2000; 109 Tanaka, Asai (CR28) 1984; 14 Tanaka, Okuda, Asai (CR27) 1974; 3 Nasseri, Ebrahimnejad, Mizuno (CR23) 2010; 5 Mahdavi-Amiri, Nasseri (CR18) 2007; 158 Mukherjee S (CIT0021) 2010; 5 CIT0030 CIT0010 Mahdavi-Amiri N (CIT0019) 2009; 1 Nasseri S H (CIT0025) 2010; 5 CIT0012 CIT0011 Kumar A (CIT0014) 2010; 1 Chen S H (CIT0002) 1985; 6 Ebrahimnejad A (CIT0009) 2011; 2 Nasseri S H (CIT0023) 2010; 5 CIT0016 CIT0015 CIT0018 CIT0017 CIT0020 CIT0001 Mukherjee S (CIT0022) 2010; 5 CIT0003 CIT0024 CIT0005 CIT0027 CIT0004 CIT0026 CIT0007 Kumar A (CIT0013) 2011; 3 CIT0029 CIT0006 CIT0028 CIT0008 |
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| Title | Applications of fuzzy linear programming with generalized LR flat fuzzy parameters |
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