Specificity for interval-valued fuzzy sets

Abstract

In this paper some axiomatic definitions about specificity for interval-valued fuzzy sets are proposed. Some examples of measures of specificity for interval-valued fuzzy sets are showed. It is also defined a extension of the notion of alpha cut for interval-valued fuzzy sets and a generalized similarity for intervalvalued fuzzy relations. An axiomatic definition of specificity of interval-valued fuzzy sets under the knowledge of a generalized similarity is given.

Keywords

• Specificity measure
• Interval-valued fuzzy set
• Similarity
• T-indistinguishability