Results 11 to 20 of about 334,145 (117)

A Novel Study on Ordered Anti-Involution LA-Semihypergroups

open access: yesJournal of Mathematics, 2023
In this study, we introduce a new concept called “anti-involution” in relation to ordered LA-semihypergroups. An anti-involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed.
Nabilah Abughazalah, Naveed Yaqoob
doaj   +3 more sources

On (∈,∈∨qk)-Fuzzy Hyperideals in Ordered LA-Semihypergroups

open access: yesDiscrete Dynamics in Nature and Society, 2018
The concept of (∈,∈∨qk)-fuzzy hyperideal of an ordered LA-semihypergroup is introduced by the ordered fuzzy points, and related properties are investigated.
Muhammad Azhar   +3 more
doaj   +2 more sources

Multipolar Fuzzy Hyperideals in Ordered Semihypergroups

open access: yesMathematics, 2022
An multi-polar fuzzy set is a robust mathematical model to examine multipolar, multiattribute, and multi-index data. The multi-polar fuzzy sets was created as a useful mechanism to portray uncertainty in multiattribute decision making.
Osman Kazancı   +2 more
doaj   +2 more sources

Rough Hyperfilters in Po-LA-Semihypergroups

open access: yesDiscrete Dynamics in Nature and Society, 2019
This paper concerns the study of hyperfilters of ordered LA-semihypergroups, and presents some examples in this respect. Furthermore, we study the combination of rough set theory and hyperfilters of an ordered LA-semihypergroup.
Ferdaous Bouaziz, Naveed Yaqoob
doaj   +2 more sources

Ordered regular equivalence relations on ordered semihypergroups

open access: yesJournal of Algebra, 2016
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\
Xilin Tang, Ze Gu
exaly   +2 more sources

Ordered Left Almost ⋇‐Semihypergroups Based on Fuzzy Sets

open access: yesJournal of Mathematics
The concept of an involution or anti‐involution is a self‐inverse linear mapping that plays a prominent role in the theory of algebraic structures, particularly rings, hyperrings, ordered semigroups, and ordered semihypergroups. Nowadays, the study of involutions in ordered hyperstructures is a particular area of research in the field of hyperstructure
Nabilah Abughazalah, Naveed Yaqoob
openaire   +3 more sources

Relationship between ordered semihypergroups and ordered semigroups by using pseudoorder

open access: yesEuropean Journal of Combinatorics, 2015
Most of the results on semigroups (ordered semigroups) can be transferred to hypersemigroups (ordered hypersemigroups). We never work directly on an hypersemigroup. If we want to obtain a result for an hypersemigroup (ordered hypersemigroup), then we have to solve it first for a semigroup (ordered semigroup) and transfer its proof to hypersemigroup ...
Bijan Davvaz
exaly   +4 more sources

Characterizations of (strongly) ordered regular relations on ordered semihypergroups

open access: yesJournal of Algebra, 2016
In this paper, the authors study the concept of ordered regular (strongly ordered regular) equivalence relations on ordered semihypergroups. In particular, they construct an ordered regular equivalence relation on an ordered semihypergroup by hyperideals such that the corresponding quotient structure is also an ordered semihypergroup, which answers the
Xilin Tang, Ze Gu
exaly   +2 more sources

On Fuzzy Ordered LA-Semihypergroups

open access: yesInternational Journal of Analysis and Applications, 2018
Introducimos la noción de semipergrupos LA ordenados difusos y proporcionamos diferentes ejemplos. También discutimos algunos resultados relacionados con hiperideales difusos de izquierda y derecha.
Muhammad Azar   +3 more
  +12 more sources

Ordered Γ-semihypergroup of the Associated Γ-semihypergroup with All Relative Bi-Γ-hyperideals

open access: yesAnnals of Communications in Mathematics
n this paper, the main goal is to study an ordered Γ-semihypergroup H in the context of the characterizations of the associated Γ-semihypergroup B(H) of all bi-Γ-hyperideals of H. We show that an ordered Γ-semihypergroup H is a Clifford ordered Γ-semihypergroup if and only if B(H) is a semilattice.
exaly   +2 more sources

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