4.0 Article

On fuzzy order relations

Journal

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS
Volume 5, Issue 5, Pages 357-378

Publisher

INT SCIENTIFIC RESEARCH PUBLICATIONS
DOI: 10.22436/jnsa.005.05.06

Keywords

Ordered set; fuzzy ordered set; Zorn's lemma; fixed point; selection; extension; variational principle; multivalued mapping; fuzzy metric spaces; fuzzy Riesz spaces; fuzzy positive linear operator; Hahn-Banach theorem

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In this review article we present results regarding the fuzzy order relations. The concept of fuzzy order was introduced by generalizing the notion of reflexivity, antisymmetric and transitivity.

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