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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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2015/314285 |
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| _version_ | 1832567621789155328 |
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| author | Ganeshsree Selvachandran Abdul Razak Salleh |
| author_facet | Ganeshsree Selvachandran Abdul Razak Salleh |
| author_sort | Ganeshsree Selvachandran |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-d2458a795bae4ba192a8e2e65112d758 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-d2458a795bae4ba192a8e2e65112d7582025-02-03T01:01:04ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252015-01-01201510.1155/2015/314285314285Possibility Intuitionistic Fuzzy Soft Expert Set Theory and Its Application in Decision MakingGaneshsree Selvachandran0Abdul Razak Salleh1Department of Actuarial Science and Applied Statistics, Faculty of Business & Information Science, UCSI University, Jalan Menara Gading, 56000 Cheras, Kuala Lumpur, MalaysiaSchool of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor DE, MalaysiaWe 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.http://dx.doi.org/10.1155/2015/314285 |
| spellingShingle | Ganeshsree Selvachandran Abdul Razak Salleh Possibility Intuitionistic Fuzzy Soft Expert Set Theory and Its Application in Decision Making International Journal of Mathematics and Mathematical Sciences |
| title | Possibility Intuitionistic Fuzzy Soft Expert Set Theory and Its Application in Decision Making |
| title_full | Possibility Intuitionistic Fuzzy Soft Expert Set Theory and Its Application in Decision Making |
| title_fullStr | Possibility Intuitionistic Fuzzy Soft Expert Set Theory and Its Application in Decision Making |
| title_full_unstemmed | Possibility Intuitionistic Fuzzy Soft Expert Set Theory and Its Application in Decision Making |
| title_short | Possibility Intuitionistic Fuzzy Soft Expert Set Theory and Its Application in Decision Making |
| title_sort | possibility intuitionistic fuzzy soft expert set theory and its application in decision making |
| url | http://dx.doi.org/10.1155/2015/314285 |
| work_keys_str_mv | AT ganeshsreeselvachandran possibilityintuitionisticfuzzysoftexpertsettheoryanditsapplicationindecisionmaking AT abdulrazaksalleh possibilityintuitionisticfuzzysoftexpertsettheoryanditsapplicationindecisionmaking |