Title of article :
Novel exponential divergence measure of complex intuitionistic fuzzy sets with an application to the decision-making process
Author/Authors :
Garg, H School of Mathematics - Thapar Institute of Engineering and Technology - Deemed University - Punjab, India , Rani, D School of Mathematics - Thapar Institute of Engineering and Technology - Deemed University - Punjab, India
Abstract :
As a generalization of Intuitionistic Fuzzy Sets (IFSs), Complex IFSs (CIFSs)
are powerful and worthy tools for realizing the imprecise information using the complexvalued
membership degrees with an extra term called phase term. Divergence measure is a
valuable tool for determining the degree of discrimination between the two sets. Driven by
these fundamental characteristics, it is fascinating to manifest some divergence measures
under the CIFS theory. The present study proposed a method for solving the Multi-Criteria
Decision-Making (MCDM) problem under CIFS environment. In this regard, rstly, the
divergence measures were introduced between two CIFSs and their properties and relations
were evaluated. Secondly, a novel algorithm was suggested based on the proposed measures
to solve the problems in which the weights of the criteria were resolved by maximizing
deviation method. Thirdly, a reasonable example was provided to verify the developed
approach and exhibit its practicality and utility with a comparative analysis indicating its
manageable and adaptable nature
Keywords :
MCDM approach , Maximize deviation method , Decision making , Complex IFS , Divergence measure
Journal title :
Scientia Iranica(Transactions E: Industrial Engineering)