Traces of Fuzzy Relations Under Dual Operations | Zendy

Hiroshi Hashimoto | Zendy

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Traces of Fuzzy Relations Under Dual Operations

Author(s) -

Hiroshi Hashimoto

Publication year - 2005

Publication title -

journal of advanced computational intelligence and intelligent informatics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.172

H-Index - 20

eISSN - 1343-0130

pISSN - 1883-8014

DOI - 10.20965/jaciii.2005.p0563

Subject(s) - fuzzy subalgebra , fuzzy associative matrix , fuzzy logic , fuzzy number , fuzzy classification , fuzzy set operations , transitive relation , defuzzification , dual (grammatical number) , mathematics , relation (database) , algebra over a field , type 2 fuzzy sets and systems , computer science , fuzzy mathematics , fuzzy set , pure mathematics , artificial intelligence , data mining , combinatorics , linguistics , philosophy

We examined dual properties of traces of a fuzzy relation using fuzzy matrices. Traces of a fuzzy relation are reflexive and transitive fuzzy relations obtained from the given fuzzy relation. Under standard operations on fuzzy matrices, fuzzy matrix inequalities and equalities are deduced by applying the well-known equivalent transformation of a fuzzy matrix inequality. We present, in particular, propositions on the construction of transitive fuzzy relations.

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