Rough Pythagorean fuzzy ideals in ternary semigroups

Volume 20, Issue 4, pp 302--312 http://dx.doi.org/10.22436/jmcs.020.04.04

Publication Date: February 28, 2020 Submission Date: August 20, 2019 Revision Date: February 02, 2020 Accteptance Date: February 04, 2020

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Authors

Ronnason Chinram - Algebra and Applications Research Unit, Department of Mathematics and Statistics, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand. - Centre of Excellence in Mathematics, CHE, Si Ayuthaya Road, Bangkok 10400, Thailand. Thammarat Panityakul - Centre of Excellence in Mathematics, CHE, Si Ayuthaya Road, Bangkok 10400, Thailand.

Abstract

A ternary semigroup is a nonempty set equipped with an associative ternary operation. A Pythagorean fuzzy set is one of the generalizations of the fuzzy set. The aim of this paper is to study rough Pythagorean fuzzy ideals in ternary semigroups. This idea is extended to the lower and upper approximations of Pythagorean fuzzy ideals.

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Keywords

• Fuzzy sets
• Pythagorean fuzzy sets
• rough sets
• ternary semigroups

MSC

•  03E72
•  20N10

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