FACTORIZATION OF INTUITIONISTIC FUZZY PREFERENCE RELATIONS

John N. Mordeson (), Terry D. Clark () and Karen Albert ()
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John N. Mordeson: Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA
Terry D. Clark: Department of Political Science, Creighton University, Omaha, Nebraska, USA
Karen Albert: Department of Political Science, University of Nebraska, Lincoln, Nebraska 68588, USA

New Mathematics and Natural Computation (NMNC), 2014, vol. 10, issue 01, 1-25

Abstract: The proofs of many factorization results for an intuitionistic fuzzy binary relation 〈ρμ,ρν〉 involve dual proofs, one for ρμwith respect to at-conorm ⊕ and one for ρνwith respect to at-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.

Keywords: Intuitionistic fuzzy preference relation; factorization; t-conorm; t-norm; involutive fuzzy complement; asymmetric fuzzy preference relation; duality (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S179300571450001X

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