Factorization of intuitionistic fuzzy preference relations

John N. Mordeson; Terry D. Clark; Karen Albert

doi:10.1142/S179300571450001X

Factorization of intuitionistic fuzzy preference relations

John N. Mordeson, Terry D. Clark, Karen Albert

Department of Political Science and International Relations

Research output: Contribution to journal › Article

1 Scopus citations

Abstract

The proofs of many factorization results for an intuitionistic fuzzy binary relation 〈ρ_μ,ρ_ν〉 involve dual proofs, one for ρ_μ with respect to a t-conorm and one for ρ_ν 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.

Original language	English (US)
Pages (from-to)	1-25
Number of pages	25
Journal	New Mathematics and Natural Computation
Volume	10
Issue number	1
DOIs	https://doi.org/10.1142/S179300571450001X
State	Published - Mar 2014

All Science Journal Classification (ASJC) codes

Human-Computer Interaction
Computer Science Applications
Computational Mathematics
Computational Theory and Mathematics
Applied Mathematics

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10.1142/S179300571450001X

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Mordeson, J. N., Clark, T. D., & Albert, K. (2014). Factorization of intuitionistic fuzzy preference relations. New Mathematics and Natural Computation, 10(1), 1-25. https://doi.org/10.1142/S179300571450001X

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