On generalized fuzzy sets in ordered LA-semihypergroups; pp. 43–54 [PDF]
Using the notion of generalized fuzzy sets, we introduce the notions of generalized fuzzy hyperideals, generalized fuzzy bi-hyperideals, and generalized fuzzy normal bi-hyperideals in an ordered nonassociative and non-commutative algebraic structure ...
Muhammad Gulistan +3 more
doaj +1 more source
The ordered semilattice equivalence relations on ordered semihypergroups
The semilattice equivalence relations play an important role in investigating the structural properties of ordered semihypergroups. Such relations can be expressed in terms of hyperfilters. There are two concepts of (ordered) hyperfilters of (ordered) semihypergroups which were introduced by Tang et al. [16] and Kehayopulu[9].
Daengsaen, Jukkrit +1 more
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Factorizable Ordered Hypergroupoids with Applications
In this study, we propose the concept of factorizable ordered hypergroupoids (semihypergroups) and present several of its properties. Our goal is to construct ordered hypergroupoid from blood groups together with some other information. Finally, we discuss right magnifying elements for further research.
Xiaolong Shi +4 more
wiley +1 more source
On characterization of regular ordered ternary semihypergroups by relative hyperideals
<p>In the present paper, we introduce the relative left, right, lateral, two-sided hyperideal, relative quasi-hyperideal, relative bi-hyperideal, relative sub-idempotent ordered bi-hyperideal, relative generalized quasi-hyperideal, relative ...
Abul Basar, Naveed Yaqoob, M. Y. Abbasi and Bhavanari Satyanarayana
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An Investigation on Int-Soft Interior Hyperideals in Ordered Ternary Semihypergroups [PDF]
The present paper aims to study ordered ternary semihypergroups in terms of the int-soft interior hyperideals. We introduce the notion of int-soft interior hyperideals over ordered ternary semihypergroups.
Yahya Abbasi, Mohammad +2 more
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On the paper “A study on (strong) order-congruences in ordered semihypergroups”
Summary: Throughout the paper in the title by \textit{J. Tang} et al. [Turk. J. Math. 42, No. 3, 1255--1271 (2018; Zbl 1424.06069)] the following lemma has been used. \textbf{Lemma}: \textit{Let} \((S, \ast)\) \textit{be a semihypergroup and} \(\rho\) \textit{an equivalence relation on} \(S\).
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A study on weak hyperfilters of ordered semihypergroups
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jian Tang, Xiang-Yun Xie, Ze Gu
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Int-soft structures applied to ordered semihypergroups: Int-soft structures applied to ordered semihypergroups [PDF]
Molodtsov introduced the theory of soft sets, which canbe seen as a new mathematical approach to vagueness. The main goal of thispaper is to introduce and study some classes of ordered semihypergroups andto investigate some interesting characterizations ...
Farooq, Muhammad +2 more
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Ordered regular equivalence relations on ordered semihypergroups
This is from the last section of the paper: ``Conclusions and future work: In this paper, we introduce the concepts of ordered regular (strongly ordered regular) equivalence relations on ordered semihypergroups, and construct an ordered semilattice equivalence relation \(\mathcal{N}\) by hyperfilters and an ordered regular equivalence relation \(\rho_I\
Ze Gu, Xilin Tang
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A study on (strong) order-congruences in ordered semihypergroups
Summary: In this paper, we introduce the concepts of order-congruences and strong order-congruences on an ordered semihypergroup \(S,\) and obtain the relationship between strong order-congruences and pseudoorders on \(S\). Furthermore, we characterize the (strong) order-congruences by the \(\rho\)-chains, where \(\rho\) is a (strong) congruence on \(S\
Tang, Jian, Luo, Yanfeng, Xie, Xiangyun
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