Characterization of almost ternary subsemigroups and their fuzzifications

Volume 27, Issue 2, pp 97--104 http://dx.doi.org/10.22436/jmcs.027.02.01

Publication Date: April 13, 2022 Submission Date: January 09, 2022 Revision Date: January 28, 2022 Accteptance Date: February 01, 2022

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Authors

R. Chinram - Division of Computational Science, Faculty of Science, Prince of Songkla University, Hat Yai, Songkhla 90110, Thailand. S. Kaewchay - Division of Mathematics, School of Science, Walailak University, Nakhon Si Thammarat 80160, Thailand. A. Iampan - Department of Mathematics, School of Science, University of Phayao, Mae Ka, Mueang, Phayao 56000, Thailand. P. Singavananda - Program in Mathematics, Faculty of Science and Technology, Songkhla Rajabhat University, Songkhla 90000, Thailand.

Abstract

In this paper, we define almost ternary subsemigroups of ternary semigroups. Almost ternary subsemigroups is a one of generalizations of ternary subsemigroups. We show that the union of two almost ternary subsemigroups is also an almost ternary subsemigroup. However, the intersection of two almost ternary subsemigroups need not be an almost ternary subsemigroup. Moreover, we define their fuzzifications and provide the relationships between almost ternary subsemigroups and their fuzzifications.

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Keywords

• Almost ternary subsemigroups
• fuzzy almost ternary subsemigroup
• minimal
• prime
• semiprime

MSC

•  20M99
•  03E72

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