FUZZY INCLUSION AND FUZZY SIMILARITY WITH GÖDEL FUZZY IMPLICATOR

Ismat Beg and Samina Ashraf
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Samina Ashraf: Centre for Advanced Studies in Mathematics, Lahore University of Management Sciences, 54792 - Lahore, Pakistan

New Mathematics and Natural Computation (NMNC), 2009, vol. 05, issue 03, 617-633

Abstract: Fuzzy inclusion and fuzzy similarity are introduced as mappings which produce fuzzy sets constructed with the help of Gödel implicator. The properties of resulting fuzzy sets of inclusion and similarity are studied in detail. Some axiomatic characteristics for being fuzzy orders and fuzzy equivalence relations are also included.

Keywords: Fuzzy set of inclusion; fuzzy set of similarity (search for similar items in EconPapers)
Date: 2009
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DOI: 10.1142/S1793005709001489

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