Paper Info
Title
Atanassov's Intuitionistic Fuzzy Programming Method for Heterogeneous Multiattribute Group Decision Making With Atanassov's Intuitionistic Fuzzy Truth Degrees
Abstract
The aim of this paper is to develop a new Atanassov's intuitionistic fuzzy (A-IF) programming method to solve heterogeneous multiattribute group decision-making problems with A-IF truth degrees in which there are several types of attribute values such as A-IF sets (A-IFSs), trapezoidal fuzzy numbers, intervals, and real numbers. In this method, preference relations in comparisons of alternatives with hesitancy degrees are expressed by A-IFSs. Hereby, A-IF group consistency and inconsistency indices are defined on the basis of preference relations between alternatives. To estimate the fuzzy ideal solution (IS) and weights, a new A-IF programming model is constructed on the concept that the A-IF group inconsistency index should be minimized and must be not larger than the A-IF group consistency index by some fixed A-IFS. An effective method is developed to solve the new derived model. The distances of the alternatives to the fuzzy IS are calculated to determine their ranking order. Moreover, some generalizations or specializations of the derived model are discussed. Applicability of the proposed methodology is illustrated with a real supplier selection example.
Year
DOI
Venue
2014
10.1109/TFUZZ.2013.2253107
IEEE Transactions on Fuzzy Systems
Keywords
Field
DocType
fuzzy set theory,fuzzy set,a-if group inconsistency index minimisation,hesitancy degree,decision making,mathematical programming,model generalization,multiattribute group decision making (magdm),uncertainty,attribute values,fuzzy ideal solution estimation,estimation theory,atanassov’s intuitionistic fuzzy set (a-if),atanassov intuitionistic fuzzy truth degree,heterogeneous multiattribute group decision making,linear programming,preference relations,fuzzy logic,fuzzy weight estimation,atanassov intuitionistic fuzzy programming method,minimisation,ranking order,a-ifs,a-if programming model,fuzzy is estimation,mathematical model,programming,pragmatics,indexes
Defuzzification,Fuzzy classification,Fuzzy set operations,Fuzzy logic,Fuzzy set,Artificial intelligence,Fuzzy number,Type-2 fuzzy sets and systems,Membership function,Machine learning,Mathematics
Journal
Volume
Issue
ISSN
22
2
1063-6706
Citations 
PageRank 
References 
48
1.04
19
Authors
2
Name
Order
Citations
PageRank
Shu-Ping Wan146425.91
Deng-Feng Li296846.12