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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Bibliographic Details
Published in:International Journal of Mathematics and Mathematical Sciences Vol. 2015; no. 2015; pp. 96 - 106
Main Authors: Selvachandran, Ganeshsree, Salleh, Abdul Razak
Format: Journal Article
Language:English
Published: Cairo, Egypt Hindawi Limiteds 2015
Hindawi Publishing Corporation
John Wiley & Sons, Inc
Wiley
Subjects:
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
United States
ISSN:0161-1712, 1687-0425
Online Access:Get full text
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Summary: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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ISSN:0161-1712
1687-0425
DOI:10.1155/2015/314285