Paper Info
Title
Multiple attribute group decision making using interval-valued intuitionistic fuzzy soft matrix
Abstract
A noticeable progress has been found in decision making problems since the introduction of soft set theory by Molodtsov in 1999. It is found that classical soft sets are not suitable to deal with imprecise parameters whereas fuzzy soft sets (FSS) are proved to be useful. Use of intuitionistic fuzzy soft sets (IFSS) is more effective in environment, where arguments are presented using membership and non-membership values. In this paper we propose an algorithmic approach for multiple attribute group decision making problems using interval-valued intuitionistic fuzzy soft matrix (IVIFSM). IVIFSM is the matrix representation of interval-valued intuitionistic fuzzy soft set (IVIFSS), where IVIFSS is a natural combination of interval-valued intuitionistic fuzzy set and soft set theory. Firstly, we propose the concept of IVIFSM. Then an algorithm is developed to find out the desired alternative(s) based on product interval-valued intuitionistic fuzzy soft matrix, combined choice matrix, and score values of the set of alternatives. Finally, a practical example has been demonstrated to show the effectiveness of the proposed algorithm.
Year
DOI
Venue
2014
10.1109/FUZZ-IEEE.2014.6891687
Fuzzy Systems
Keywords
Field
DocType
distributed decision making,fuzzy set theory,matrix algebra,IVIFSM,IVIFSS,algorithmic approach,interval-valued intuitionistic fuzzy soft set,matrix representation,multiple attribute group decision making problem,product interval-valued intuitionistic fuzzy soft matrix,Multiple attribute group decision making,choice matrix,interval-valued intuitionistic fuzzy soft matrix,interval-valued intuitionistic fuzzy soft set
Fuzzy classification,Fuzzy set operations,Computer science,Soft set,Fuzzy set,Artificial intelligence,Fuzzy associative matrix,Fuzzy number,Mathematical optimization,Fuzzy logic,Algorithm,Type-2 fuzzy sets and systems,Machine learning
Conference
ISSN
Citations 
PageRank 
1544-5615
4
0.44
References 
Authors
12
4
Name
Order
Citations
PageRank
Sujit Das1172.59
Mohuya B. Kar2254.53
Tandra Pal38512.23
Samarjit Kar460863.41