Results 41 to 50 of about 210 (144)
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 +4 more
wiley +1 more source
Soft Substructures in Quantales and Their Approximations Based on Soft Relations
Computational Intelligence and Neuroscience, Volume 2022, Issue 1, 2022., 2022 The aim of this research article is to derive a new relation between rough sets and soft sets with an algebraic structure quantale by using soft binary relations. The aftersets and foresets are utilized to define lower approximation and upper approximation of soft subsets of quantales.
Huan Zhou +6 more
wiley +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 +6 more
wiley +1 more source
Soft Relations Applied to the Substructures of Quantale Module and Their Approximation
Complexity, Volume 2022, Issue 1, 2022., 2022 This research article offers a study on a new relation of rough sets and soft sets with an algebraic structure quantale module by using soft reflexive and soft compatible relations. The lower approximation and upper approximation of subsets of quantale module are utilized by aftersets and foresets.
Saqib Mazher Qurashi +5 more
wiley +1 more source
[Retracted] Interval‐Valued m‐Polar Fuzzy Positive Implicative Ideals in BCK‐Algebras
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 In this paper, the notion of interval‐valued m‐polar fuzzy positive implicative ideals in BCK‐algebras is presented. Then, the relationships between interval‐valued m‐polar fuzzy positive implicative ideals and interval‐valued m‐polar fuzzy ideals are investigated.
G. Muhiuddin +4 more
wiley +1 more source
Cayley Graphs over LA‐Groups and LA‐Polygroups
Mathematical Problems in Engineering, Volume 2021, Issue 1, 2021., 2021 The purpose of this paper is the study of simple graphs that are generalized Cayley graphs over LA‐polygroups (GCLAP − graphs). In this regard, we construct two new extensions for building LA‐polygroups. Then, we define Cayley graph over LA‐group and GCLAP‐graph.
Nabilah Abughazalah +3 more
wiley +1 more source
Free product on semihypergroups
Semigroup Forum, 2021 In a previous paper [1] [MR4101040], we initiated a systematic study of semihypergroups and had a thorough discussion about some important analytic and algebraic objects associated to this class of objects. In this paper, we investigate free structures on the category of semihypergroups.
openaire +3 more sources
Green's relations on ordered n-ary semihypergroups [PDF]
Categories and General Algebraic Structures with Applications, 2023 In this paper, we introduce the concept of weak $i$-hyperfilters of ordered $n$-arysemihypergroups, where a positive integer 1 ≤ i ≤ n and n ≥ 2, and then discuss theirrelated properties. We define the Green’s relations $M_i, J , H$ and $K$ on ordered $n$
Jukkrit Daengsaen +1 more
doaj +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. This property enable us to get the second property, which provides a relation between subsemihypergroups
Sihwaningrum, Idha +4 more
core +1 more source