A Binary Intuitionistic Fuzzy Relation: Some New Results, a General Factorization, and Two Properties of Strict Components | Zendy

Louis Aimé Fono | Zendy; G. Nana | Zendy; Maurice Salles | Zendy; Henri Gwét | Zendy

Open Access

A Binary Intuitionistic Fuzzy Relation: Some New Results, a General Factorization, and Two Properties of Strict Components

Author(s) -

Louis Aimé Fono,

G. Nana,

Maurice Salles,

Henri Gwét

Publication year - 2009

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2009/580918

Subject(s) - mathematics , transitive relation , factorization , fuzzy logic , characterization (materials science) , discrete mathematics , pure mathematics , algebra over a field , combinatorics , algorithm , artificial intelligence , computer science , materials science , nanotechnology

We establish, by means of a large class ofcontinuous t-representable intuitionistic fuzzy t-conorms, a factorization of an intuitionistic fuzzy relation (IFR) into aunique indifference component and a family of regular strict components. This result generalizes a previous factorizationobtained by Dimitrov (2002) with the (max,min)intuitionistic fuzzy t-conorm. We provide, for a continuoust-representable intuitionistic fuzzy t-norm , a characterization of the -transitivity of an IFR. This enables us to determine necessary and sufficient conditions on a-transitive IFR under which a strict component of satisfies pos-transitivity and negative transitivity

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