FACTORIZATION OF INTUITIONISTIC FUZZY PREFERENCE RELATIONS

The proofs of many factorization results for an intuitionistic fuzzy binary relation 〈ρμ,ρν〉 involve dual proofs, one for ρμ with respect to a t-conorm ⊕ and one for ρν with respect to a t-norm ⊗. In this paper, we show that one proof can be obtained from the other by considering ⊕ and ⊗ dual under an involutive fuzzy complement. We provide a series of singular proofs for commonly defined norms and conorms.

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Year of publication:	2014
Authors:	MORDESON, JOHN N. ; CLARK, TERRY D. ; ALBERT, KAREN
Published in:	New Mathematics and Natural Computation (NMNC). - World Scientific Publishing Co. Pte. Ltd., ISSN 1793-7027. - Vol. 10.2014, 01, p. 1-25
Publisher:	World Scientific Publishing Co. Pte. Ltd.
Subject:	Intuitionistic fuzzy preference relation \| factorization \| t-conorm \| t-norm \| involutive fuzzy complement \| asymmetric fuzzy preference relation \| duality

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Extent:	application/pdf text/html
Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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