A Novel Similarity Measure Between Intuitionistic Fuzzy Sets for Constructing Intuitionistic Fuzzy Tolerance
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This paper deals with the problem of constructing intuitionistic fuzzy tolerance from a family of intuitionistic fuzzy sets. A method to calculate the intuitionistic fuzzy tolerance degrees between intuitionistic fuzzy sets on the basis of the Euclidean distance is proposed. An illustrative example used to compare the proposed similarity measure with other similarity measures and an application of the proposed similarity measure to clustering problem is considered. Preliminary conclusions are formulated.
KeywordsIntuitionistic fuzzy set Intuitionistic fuzzy tolerance Similarity measure Clustering
- 7.Viattchenin, D.A.: A method of construction of intuitionistic fuzzy tolerances based on a similarity measure between intuitionistic fuzzy sets. In: Atanassov K.T. et al. (Eds.) New Developments in Fuzzy Sets, Intuitionistic Fuzzy Sets, Generalized Nets and Related Topics, Vol. I: Foundations, pp. 191–202, IBS PAN– SRI PAS, Warsaw (2012)Google Scholar