Journal
FUZZY OPTIMIZATION AND DECISION MAKING
Volume 8, Issue 2, Pages 123-139Publisher
SPRINGER
DOI: 10.1007/s10700-009-9056-3
Keywords
Group decision making; Intuitionistic fuzzy set; Interval-valued intuitionistic fuzzy set; Similarity measure; Consensus
Funding
- National Science Fund for Distinguished Young Scholars of China [70625005]
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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.
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