Results 41 to 50 of about 628,271 (127)

On 1‐Absorbing Prime Hyperideal and Some of Its Generalizations

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we introduce the concept of 1‐absorbing prime hyperideals which is an expansion of the prime hyperideals. Several properties of the hyperideals are provided. For example, it is proved that if a strong C‐hyperideal I of R is 1‐absorbing prime that is not prime, then R is a local multiplicative hyperring.
M. Anbarloei, Carmelo Antonio Finocchiaro   +1 more
wiley   +1 more source

[Retracted] Roughness in Hypervector Spaces

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
This paper examines rough sets in hypervector spaces and provides a few examples and results in this regard. We also investigate the congruence relations‐based unification of rough set theory in hypervector spaces. We introduce the concepts of lower and upper approximations in hypervector spaces.
Nabilah Abughazalah, Naveed Yaqoob, Muhammad Usman, Muhammad Gulzar   +3 more
wiley   +1 more source

2‐Prime Hyperideals of Multiplicative Hyperrings

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. Let R be a commutative multiplicative hyperring. A proper hyperideal I of R is called 2‐prime if x∘y⊆I for some x, y ∈ R, then, x2⊆I or y2⊆I.
Mahdi Anbarloei, Xiaogang Liu
wiley   +1 more source

A New Approach to Evaluate Regular Semirings in terms of Bipolar Fuzzy k‐Ideals Using k‐Products

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we provide a generalized form of ideals that is k‐ideals of semirings with the combination of a bipolar fuzzy set (BFS). The BFS is a generalization of fuzzy set (FS) that deals with uncertain problems in both positive and negative aspects. The main theme of this paper is to present the idea of (α, β)‐bipolar fuzzy k‐subsemiring (k‐BFSS),
Shahida Bashir, Ahmad N. Al-Kenani, Tanzila Kausar, Rabia Mazhar, Ching-Feng Wen   +4 more
wiley   +1 more source

ℒ‐Fuzzy Cosets of ℒ‐Fuzzy Filters of Residuated Multilattices

International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022
This paper mainly focuses on building the ℒ‐fuzzy filter theory of residuated multilattices. Firstly, we introduce the concepts of ℒ‐fuzzy filter and ℒ‐fuzzy deductive system of residuated multilattices. Then, we highlight their properties and show how they are linked.
Pierre Carole Kengne, Blaise Bleriot Koguep Njionou, Daquin Cèdric Awouafack, Luc Eméry Diékouam Fotso, Frederic Mynard   +4 more
wiley   +1 more source

Algorithms for Finding Specific Elements in Algebraic‎ ‎Hyperstructures‎ ‎with‎ ‎One Hyperoperation [PDF]

Mathematics Interdisciplinary Research
‎In this paper‎, ‎first‎, ‎we show how to define an algebraic hyperstructure by using algorithms‎. ‎Then‎, ‎we present algorithms that calculate specific elements in algebraic hyperstructures‎. ‎These specific elements are‎: ‎scalars‎, ‎scalar identities‎
Aboutorab Pourhaghani, Seid Mohammad Anvariyeh, Bijan Davvaz   +2 more
doaj   +1 more source

Fuzzy Semantic Models of Fuzzy Concepts in Fuzzy Systems

International journal of fuzzy systems and advanced applications, 2022
The fuzzy properties of language semantics are a central problem towards machine-enabled natural language processing in cognitive linguistics, fuzzy systems, and computational linguistics.
Yingxu Wang
semanticscholar   +1 more source

r‐Hyperideals and Generalizations of r‐Hyperideals in Krasner Hyperrings

Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
This paper deals with Krasner hyperrings as an important class of algebraic hyperstructures. We investigate some properties of r‐hyperideals in commutative Krasner hyperrings. Some properties of pr‐hyperideals are also studied. The relation between prime hyperideals and r‐hyperideals is investigated. We show that the image and the inverse image of an r‐
Peng Xu, Melis Bolat, Elif Kaya, Serkan Onar, Bayram Ali Ersoy, Kostaq Hila, Kamal Kumar   +6 more
wiley   +1 more source

The Prime Filter Theorem for Multilattices

International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022
The aim of this paper is to establish the prime filter theorem for multilattices.
Daquin Cédric Awouafack, Blaise Blériot Koguep Njionou, Célestin Lélé, Frederic Mynard   +3 more
wiley   +1 more source

SOME PROPERTIES OF SUBSEMIHYPERGROUPS [PDF]

, 2021
In this paper we will present two properties of subsemihypergroups. The first property is a relation between subsemihypergroups and semihypergroup.
Cerinda, Mitha, Estri, Mutia nur, Sidik, Wuryatmo Ahmad, Sihwaningrum, Idha, wardayani, Ari   +4 more
core   +2 more sources