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A comparative assessment of measures of similarity of fuzzy values. (English) Zbl 0795.04007

There are several measures of similarity of fuzzy values: one based on union and intersection, one based on maximum difference, and one based on the difference as well as the sum of the corresponding grade of membership. Some common properties and some particular properties of the three measures are investigated.

MSC:

03E72 Theory of fuzzy sets, etc.
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References:

[1] Pappis, C. P., Value approximation of fuzzy systems variables, Fuzzy Sets and Systems, 39, 111-115 (1991) · Zbl 0724.93049
[3] Pappis, C. P.; Sugeno, M., Fuzzy relational equations and the inverse problem, Fuzzy Sets and Systems, 15, 79-90 (1985) · Zbl 0561.04003
[4] Zadeh, L. A., Towards a theory of fuzzy systems, (Kalman, R. E.; DeClaris, N., Aspects of Network and System Theory (1971), Holt, Rinehart and Winston: Holt, Rinehart and Winston New York), 209-245
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