INTUITIONISTIC FUZZY SETS IN UP-ALGEBRAS: UP-algebra

Bodin Kesorn; Khanrudee Maimun; Watchara Ratbandan; Aiyared Iampan

INTUITIONISTIC FUZZY SETS IN UP-ALGEBRAS

UP-algebra

Authors

Bodin Kesorn University of Phayao - Department of Mathematics
Khanrudee Maimun University of Phayao - Department of Mathematics
Watchara Ratbandan University of Phayao - Department of Mathematics
Aiyared Iampan University of Phayao - Department of Mathematics

Keywords:

UP-algebra, intuitionistic fuzzy set, intuitionistic fuzzy UP-ideal, intuitionistic fuzzy UP-subalgebra, upper t-(strong) level subset, lower t-(strong) level subset

Abstract

The concept of intuitionistic fuzzy sets was first introduced by Atanassov, which is a generalization of the concept of fuzzy sets. In this paper, we apply the concept of intuitionistic fuzzy sets to UP-algebras. The notions of intuitionistic fuzzy UP-ideals and intuitionistic fuzzy UP-subalgebras of UP-algebras are introduced and their basic properties are investigated. Upper t-(strong) level subsets and lower t-(strong) level subsets are derived from some intuitionistic fuzzy sets.

Cover of n°34 Italian Journal of Pure and Applied Mathematics

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Published

2015-06-30

How to Cite

Kesorn, B., Maimun, K., Ratbandan, W., & Iampan, A. (2015). INTUITIONISTIC FUZZY SETS IN UP-ALGEBRAS: UP-algebra. Italian Journal of Pure and Applied Mathematics, 34, 339–364. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/6374

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Issue

N°34 - June 2015

Section

Articoli - Forum Editrice

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)