Results 31 to 40 of about 358 (147)
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
1-hypergroups of small sizes [PDF]
, 2021 In this paper, we show a new construction of hypergroups that, under appropriate conditions, are complete hypergroups or non-complete 1-hypergroups.
De Salvo, M. +3 more
core +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
Regularities in Ordered n-Ary Semihypergroups
Mathematics, 2021 This paper deals with a class of hyperstructures called ordered n-ary semihypergroups which are studied by means of j-hyperideals for all positive integers 1≤j≤n and n≥3.
Jukkrit Daengsaen +1 more
doaj +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
On special weak free (semi)hypergroups [PDF]
Journal of Hyperstructures, 2013 In this paper, we study some properties of special weak free (semi)hypergroups and we generalize the Nielsen-Schreier theorem for the class of special weak free hypergroups.
Morteza Jafarpour, Abdolah Chashiyani
doaj +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
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
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
On Strongly Associative (Semi)Hypergroups [PDF]
, 2017 In this paper we introduce the notion of a strongly associative hyperoperation that we call SASS and obtain new class of semihypergroups...
Jafarpour, M. (Morteza) +2 more
core +1 more source