A Binary Intuitionistic Fuzzy Relation: Some New Results, a General Factorization, and Two Properties of Strict Components-Reference-Cited by-同舟云学术

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

Published:2009 Issue: Volume:2009 Page:1-38
ISSN:0161-1712
Container-title:International Journal of Mathematics and Mathematical Sciences
language:en
Short-container-title:International Journal of Mathematics and Mathematical Sciences

Author:

Fono Louis Aimé¹,Njanpong Nana Gilbert²,Salles Maurice³^ORCID,Gwet Henri⁴

Affiliation:

1. Département de Mathématiques et Informatique, Faculté des Sciences, Université de Douala, B.P. 24157 Douala, Cameroon

2. Laboratoire de Mathématiques Appliquées aux Sciences Sociales, Département de Mathématiques, Faculté des Sciences, Université de Yaoundé I, B.P. 15396 Yaoundé, Cameroon

3. MRSH, University of Caen, CREM-UMR 6211, CNRS, 14032 Caen Cedex, France

4. Department of Mathematics, National Polytechnic Institute, P.O. Box 8390, Yaoundé, Cameroon

Abstract

We establish, by means of a large class of continuous t-representable intuitionistic fuzzy t-conorms, a factorization of an intuitionistic fuzzy relation (IFR) into a unique indifference component and a family of regular strict components. This result generalizes a previous factorization obtained by Dimitrov (2002) with the intuitionistic fuzzy t-conorm. We provide, for a continuous t-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.

Publisher

Hindawi Limited

Subject

Mathematics (miscellaneous)

Link

http://downloads.hindawi.com/journals/ijmms/2009/580918.pdf

Reference21 articles.

1. Fuzzy preferences and social choice

2. On strict lower and upper sections of weakly complete fuzzy pre-orders based on co-implication

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