Possibility Intuitionistic Fuzzy Soft Expert Set Theory and Its Application in Decision Making
We propose the theory of possibility intuitionistic fuzzy soft expert theory and define some related concepts pertaining to this notion as well as the basic operations on this concept, namely, the complement, union, intersection, AND, and OR. The basic properties and relevant laws pertaining to this...
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| Veröffentlicht in: | International Journal of Mathematics and Mathematical Sciences Jg. 2015; H. 2015; S. 96 - 106 |
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| Hauptverfasser: | , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Cairo, Egypt
Hindawi Limiteds
2015
Hindawi Publishing Corporation John Wiley & Sons, Inc Wiley |
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| ISSN: | 0161-1712, 1687-0425 |
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| Abstract | We propose the theory of possibility intuitionistic fuzzy soft expert theory and define some related concepts pertaining to this notion as well as the basic operations on this concept, namely, the complement, union, intersection, AND, and OR. The basic properties and relevant laws pertaining to this concept such as De Morgan’s laws are proved. Lastly, a generalized algorithm is introduced and applied to the concept of possibility intuitionistic fuzzy soft expert sets in hypothetical decision making problem. |
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| AbstractList | We propose the theory of possibility intuitionistic fuzzy soft expert theory and define some related concepts pertaining to this notion as well as the basic operations on this concept, namely, the complement, union, intersection, AND, and OR. The basic properties and relevant laws pertaining to this concept such as De Morgan's laws are proved. Lastly, a generalized algorithm is introduced and applied to the concept of possibility intuitionistic fuzzy soft expert sets in hypothetical decision making problem. |
| Audience | Academic |
| Author | Selvachandran, Ganeshsree Salleh, Abdul Razak |
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| CitedBy_id | crossref_primary_10_1155_2020_1563768 crossref_primary_10_1016_j_matpr_2021_08_076 crossref_primary_10_1177_0020720919879385 crossref_primary_10_32604_cmes_2024_057865 crossref_primary_10_1007_s00500_023_08980_6 crossref_primary_10_2298_YJOR240315033S crossref_primary_10_1016_j_engappai_2023_105879 |
| Cites_doi | 10.1155/2012/404325 10.1155/2012/258361 10.1016/s0165-0114(86)80034-3 10.5391/JKIIS.2004.14.2.125 10.1155/2011/757868 10.1016/s0898-1221(99)00056-5 10.1155/2011/479756 |
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| Copyright | Copyright © 2015 Ganeshsree Selvachandran and Abdul Razak Salleh. COPYRIGHT 2015 John Wiley & Sons, Inc. Copyright © 2015 Ganeshsree Selvachandran and Abdul Razak Salleh. Ganeshsree Selvachandran et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
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| References | (12) 2001; 9 Xu Y.-J. Sun Y.-K. Li D.-F. Intuitionistic fuzzy soft set Proceedings of the 2nd International Workshop on Intelligent Systems and Applications (ISA '10) May 2010 1 4 10.1109/iwisa.2010.5473444 2-s2.0-77954395194 (2) 2001; 3 (3) 2011; 2011 Lee K. M. Bipolar-valued fuzzy sets and their operations Proceedings of the International Conference on Intelligent Technologies 2000 Bangkok, Thailand 307 312 (1) 1999; 37 (14) 2004; 14 (4) 2011; 2011 (9) 2012; 2012 (8) 2012; 77 (6) 2012; 2012 Hassan N. Alhazaymeh K. Vague soft expert set theory 1522 Proceedings of the 20th National Symposium on Mathematical Sciences: Research in Mathematical Sciences: A Catalyst for Creativity and Innovation April 2013 Putrajaya, Malaysia 953 958 AIP Conference Proceedings 10.1063/1.4801233 Selvachandran G. Possibility vague soft expert set theory Proceedings of the International Conference on Soft Computing in Data Science September 2015 Putrajaya, Malaysia (11) 1986; 20 (5) 2011; 5 11 1 3 4 6 9 |
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| SubjectTerms | Algorithms Analysis Complement Decision making Experts Fuzzy Fuzzy algorithms Fuzzy logic Fuzzy set theory Fuzzy sets Fuzzy systems Mathematical analysis Medical diagnosis Science Set theory Unions |
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| Title | Possibility Intuitionistic Fuzzy Soft Expert Set Theory and Its Application in Decision Making |
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