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
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
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