An Inclusion Measure between Fuzzy Sets

Abstract:

The inclusion measure is an important index of fuzzy logic because of its wide application. This paper aims to put forward a new fuzzy inclusion measure. Based on the previous related research results, an axiomatic definition with three axioms is first chosen for the purpose of making the fuzzy inclusion measure in the true spirit of fuzzy logic. A calculation formula is built under the constraints of the chosen definition, that is to say that the calculation formula is consistent with the three axioms. Two properties are discussed. Finally, two examples are used to verify the rationality of the new inclusion measure between fuzzy sets.

• Periodical: Applied Mechanics and Materials (Volume 740)
• Pages: 769-772
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.740.769
• Online since: March 2015
• Authors: Jing Wang*, Gao Zheng
• Keywords: Fuzzy Logic, Fuzzy Set, Inclusion Measure

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