Some Inclusion Relations for Fuzzy Sets
Norihiro Someyama
TL;DR
This paper explores inclusion relations among fuzzy sets using inequalities, highlighting the compatibility of bounded sum and algebraic product, and introduces the concept of fuzzy set inequalities.
Contribution
It proposes the novel concept of fuzzy set inequalities and establishes inclusion relations based on well-known inequalities.
Findings
Bounded sum and algebraic product are compatible in fuzzy sets.
Introduces the concept of fuzzy set inequalities.
Provides new inclusion relations for fuzzy sets.
Abstract
We give some inclusion relations for arbitrary fuzzy sets with reference to famous inequalities. In particular, we can know that the bounded sum and the algebraic product go well together. We would like to propose the concept of `Fuzzy Set Inequalities' through the present note.
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Taxonomy
TopicsMulti-Criteria Decision Making · Fuzzy Systems and Optimization · Fuzzy Logic and Control Systems