“…< z >) i.e., g( Example 3.6. [11] Let H = N the set of natural numbers and • : H ×H ×H → P * (H) defined as follows:…”
Section: Discussionmentioning
confidence: 99%
“…Different examples of ternary semihypergroups can be found in [3]- [6], [10,11,14], [16]- [18], [21]- [24].…”
Section: Preliminariesmentioning
confidence: 99%
“…[3,4,5,6,14]). Recently, Hila et al [10,11], Naka et al [21,22,23,24] and Mani et al [19] have studied the ternary semihypergroups in terms of hyperideals and quasi(bi)-hyperideals.…”
The main objective of this study is to introduce a new class of hyperideals called pseudosymmetric and semipseudosymmetric hyperideals in ternary semihypergroups. We try to investigate the properties of these hyperideals by giving some suitable examples for the same. In particular we prove that every pseudosymmetric hyperideal of a ternary semihypergroups is a semipseudosymmetric hyperideal. We study the fundamental relations among these hyperideals and provide few results.
“…< z >) i.e., g( Example 3.6. [11] Let H = N the set of natural numbers and • : H ×H ×H → P * (H) defined as follows:…”
Section: Discussionmentioning
confidence: 99%
“…Different examples of ternary semihypergroups can be found in [3]- [6], [10,11,14], [16]- [18], [21]- [24].…”
Section: Preliminariesmentioning
confidence: 99%
“…[3,4,5,6,14]). Recently, Hila et al [10,11], Naka et al [21,22,23,24] and Mani et al [19] have studied the ternary semihypergroups in terms of hyperideals and quasi(bi)-hyperideals.…”
The main objective of this study is to introduce a new class of hyperideals called pseudosymmetric and semipseudosymmetric hyperideals in ternary semihypergroups. We try to investigate the properties of these hyperideals by giving some suitable examples for the same. In particular we prove that every pseudosymmetric hyperideal of a ternary semihypergroups is a semipseudosymmetric hyperideal. We study the fundamental relations among these hyperideals and provide few results.
“…A ternary semihypergroup is a particular case of an n-ary semihypergroup (n-semihypergroup) for n = 3 (see [2][3][4][5]11]). Hila and many other researchers have studied ternary semihypergroups (see [12,13,22,27]).…”
Theory of soft sets proposed by Molodtsov as a general framework for reasoning about vague concepts is a powerful mathematical tool for modelling various types of uncertainties. In this paper, we introduce the notions of intersectional soft subsemihypergroup, intersectional soft left (lateral, right) hyperideal of ordered ternary semihypergroups and related properties are investigated. We present characterizations of right weakly regular ordered ternary semihypergroups by means of intersectional hyperideals.
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