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Soft Hyperideals and Soft Hyperfilters in ★-Ternary Semihypergroups
Mohammad Yahya Abbasi, Sabahat Ali Khan, Kostaq Hila and Ahmad Raza
Ternary semihypergroups are algebraic structures with one ternary associative hyperoperation. In this paper, we define ternary semihypergroups with involution (briefly, ★-ternary semihypergroup). Also, we define different kind of soft hyperideals and soft hyperfilters in ★-ternary semihypergroups with some interesting examples. Finally, we explore some properties using involution theoretic concepts in ternary semihypergroups for soft hyperideals and soft hyperfilters.
Keywords: ★-Ternary semihypergroups, hyperideals, hyperfilters, soft hyperideals, soft hyperfilters