Results 81 to 90 of about 198 (137)

Atanassov's intuitionistic fuzzy Gamma - hyperideals of Gamma - semihypergroups

, 2013
The notion of intuitionistic fuzzy sets was introduced by Atanassov as a generalization of the notion of fuzzy sets. In this paper, we apply this concept to Gamma - semihypergroups and we introduce the notion of an intuitionistic fuzzy Gamma - hyperideal
DAVVAZ, B., ERSOY, Bayram Ali
core   +1 more source

Computation in Algebraic Hyperstructures

Computation
The concept of the relation β plays a central role in the study of hypercompositional structures. In this paper, we extend the definition of β to the general framework of hypergroupoids and develop an algorithm to compute its elements and its transitive ...
Yuming Feng, Enrico Talotti, Violeta Leoreanu-Fotea   +2 more
doaj   +1 more source

Green's relations on ternary semihypergroups and crossed hyperproduct of hypergroups

, 2021
In this paper, we introduce all Green's relations on the ternary semihypergroup and study some properties of these equivalence relations in view of those obtained in binary and ternary semigroups.
Unal, Seda Oguz
core   +1 more source

Pre-semihyperadditive Categories

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019
In this paper we extend the notion of classical (pre-)semiadditive category to (pre-)semihyperadditive category. Algebraic hyperstructures are algebraic systems whose objects possessing the hyperoperations or multi-valued operation.
Shojaei H., Ameri R., Hoskova-Mayerova S.   +2 more
doaj   +1 more source

Characterizations of regular and intra-regular ordered $\Gamma$-semihypergroups in terms of bi-$\Gamma$-hyperideals

Karpatsʹkì Matematičnì Publìkacìï, 2019
The concept of $\Gamma$-semihypergroups is a generalization of semigroups, a generalization of semihypergroups and a generalization of $\Gamma$-semigroups.
S. Omidi, B. Davvaz, K. Hila
doaj   +1 more source

Quasi-Order Hypergroups and T-Hypergroups

Ratio Mathematica, 2017
Quasi-order hypergroups were introduced by J. Chvalina in 90s of the last century. They form a subclass of the class of all hypergroups, i.e. structures with one associative hyperoperation fulfilling the reproduction axiom.
Šárka Hošková-Mayerová
doaj   +1 more source

An investigation on hyper S-posets over ordered semihypergroups

Open Mathematics, 2017
In this paper, we define and study the hyper S-posets over an ordered semihypergroup in detail. We introduce the hyper version of a pseudoorder in a hyper S-poset, and give some related properties.
Tang Jian, Davvaz Bijan, Xie Xiang-Yun
doaj   +1 more source

On Cyclic LA-Hypergroups

, 2023
Symmetries in the context of hypergroups and their generalizations are closely related to the algebraic structures and transformations that preserve certain properties of hypergroup operations. Symmetric LA-hypergroups are indeed commutative hypergroups.
Muhammad Gulistan, Shehzadi Salma Kanwal, Naveed Yaqoob, Nabilah Abughazalah   +3 more
core   +1 more source

Existence of proper semihypergroups of type U on the right

, 2007
We generalize the classical definition of hypergroups of type U on the right to semihypergroups, and we prove some properties of their subsemihypergroups and subhypergroups.
FASINO, Dario, FRENI, Domenico
core   +1 more source

Intuitionistic fuzzy set of Γ -submodules and its application in modeling spread of viral diseases, mutated COVID-n, via flights. [PDF]

Int J Intell Syst, 2022
Firouzkouhi N, Amini A, Cheng C, Zarrabi A, Davvaz B.   +4 more
europepmc   +1 more source