November 2023 CHARACTERIZATION OF TRI-QUASI IDEALS AND THEIR FUZZIFICATIONS IN ORDERED SEMIRINGS
Pokpong Srimora, Winita Yonthanthum, Ronnason Chinram, Aiyared Iampan
Missouri J. Math. Sci. 35(2): 159-176 (November 2023). DOI: 10.35834/2023/3502159

Abstract

In this paper, we introduce the notion of tri-quasi ideals of ordered semirings which is a generalization of ideals, bi-ideals, quasi-ideals and interior ideals of ordered semirings and investigate the properties of tri-quasi ideals of ordered semirings. In addition, we study minimal tri-quasi ideals of ordered semirings and tri-quasi simple ordered semirings. Moreover, we introduce the concepts of fuzzy tri-quasi ideals, minimal fuzzy tri-quasi ideals of ordered semirings and fuzzy tri-quasi simple ordered semirings. The relationship between tri-quasi ideals and fuzzy tri-quasi ideals of ordered semirings is provided.

Citation

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Pokpong Srimora. Winita Yonthanthum. Ronnason Chinram. Aiyared Iampan. "CHARACTERIZATION OF TRI-QUASI IDEALS AND THEIR FUZZIFICATIONS IN ORDERED SEMIRINGS." Missouri J. Math. Sci. 35 (2) 159 - 176, November 2023. https://doi.org/10.35834/2023/3502159

Information

Published: November 2023
First available in Project Euclid: 28 November 2023

Digital Object Identifier: 10.35834/2023/3502159

Subjects:
Primary: 16Y60
Secondary: 06A11 , 16Y80

Keywords: fuzzy tri-quasi-ideals , simple , tri-quasi-idealsr

Rights: Copyright © 2023 Central Missouri State University, Department of Mathematics and Computer Science

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Vol.35 • No. 2 • Nov 2023
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