# Factorization of intuitionistic fuzzy preference relations

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

Research output: Contribution to journalArticle

1 Citation (Scopus)

### Abstract

The proofs of many factorization results for an intuitionistic fuzzy binary relation 〈ρμν〉 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.

Original language English 1-25 25 New Mathematics and Natural Computation 10 1 https://doi.org/10.1142/S179300571450001X Published - Mar 2014

### Fingerprint

Fuzzy Preference Relation
Factorization
T-conorms
Fuzzy Relation
Binary relation
T-norm
Complement
Norm
Series

### All Science Journal Classification (ASJC) codes

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

### Cite this

Factorization of intuitionistic fuzzy preference relations. / Mordeson, John N.; Clark, Terry D.; Albert, Karen.

In: New Mathematics and Natural Computation, Vol. 10, No. 1, 03.2014, p. 1-25.

Research output: Contribution to journalArticle

Mordeson, John N. ; Clark, Terry D. ; Albert, Karen. / Factorization of intuitionistic fuzzy preference relations. In: New Mathematics and Natural Computation. 2014 ; Vol. 10, No. 1. pp. 1-25.
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