Open AccessDecision Making with Unknown Criteria Weight Information in the Frame Work of Interval Valued Trapezoidal Intuitionistic Fuzzy Sets
Author(s) -
Sireesha V*,
K Himabindu
Publication year - 2019
Publication title -
international journal of innovative technology and exploring engineering
Language(s) - English
Resource type - Journals
ISSN - 2278-3075
DOI - 10.35940/ijitee.a5217.119119
Subject(s) - mathematics , group decision making , operator (biology) , frame (networking) , interval (graph theory) , rank (graph theory) , fuzzy logic , mathematical optimization , fuzzy number , fuzzy set , computer science , artificial intelligence , combinatorics , telecommunications , biochemistry , chemistry , repressor , political science , transcription factor , law , gene
This paper proposes an interval valued trapezoidal intuitionistic fuzzy (IVTIF) decision making model for multi criteria group decision making (MCGDM) problem by taking into consideration that the criteria weights of each decision maker may differ with respect to each other when criteria weights are unknown prior. In this process, a new method to find the criteria weight based on alternatives performance and Einstein weighted averaging operator on IVTIFSs is defined. Further, the properties of interval valued trapezoidal intuitionistic fuzzy Einstein weighted averaging (IVITFEWA) operator are proved. The proposed method is illustrated by taking a numerical example. From the results it is observed that the proposed method can effectively rank the alternatives compared to existing methods.