Intuitionistic and interval-valued intutionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group

Authors:
Zeshui Xu;Ronald R. Yager
Affiliations:
School of Economics and Management, Southeast University, Nanjing, China 210096;Machine Intelligence Institute, Iona College, New Rochelle, USA 10801
Venue:
Fuzzy Optimization and Decision Making
Year:
2009

Citing 9
Cited 21

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Abstract

Szmidt and Kacprzyk (Lecture Notes in Artificial Intelligence 3070:388---393, 2004a) introduced a similarity measure, which takes into account not only a pure distance between intuitionistic fuzzy sets but also examines if the compared values are more similar or more dissimilar to each other. By analyzing this similarity measure, we find it somewhat inconvenient in some cases, and thus we develop a new similarity measure between intuitionistic fuzzy sets. Then we apply the developed similarity measure for consensus analysis in group decision making based on intuitionistic fuzzy preference relations, and finally further extend it to the interval-valued intuitionistic fuzzy set theory.