[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5391/JKIIS.2011.21.1.145

The Lattice of Interval-Valued Intuitionistic Fuzzy Relations

Lee, Keon-Chang (Department of Computer Science, Dongshin University)
Choi, Ga-Hee (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)
Hur, Kul (Division of Mathematics and Informational Statistics, and Nanoscale Science and Technology Institute, Wonkwang University)

Publication Information

Journal of the Korean Institute of Intelligent Systems / v.21, no.1, 2011 , pp. 145-152 More about this Journal

Abstract

By using the notion of interval-valued intuitionistic fuzzy relations, we form the poset (IVIR(X), $\leq$ ) of interval-valued intuitionistic fuzzy relations on a given set X. In particular, we form the subposet (IVIE(X), $\leq$ ) of interval-valued intuitionistic fuzzy equivalence relations on a given set X and prove that the poset (IVIE(X), $\leq$ ) is a complete lattice with the least element and greatest element.

Keywords

interval-valued intuitionistic fuzzy set [relation, equivalence relation]; (complete) lattice;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
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