FUZZY PSEUDOTOPOLOGICAL HYPERGROUPOIDS
Authors
Abstract:
On a hypergroupoid one can define a topology such that the hyperoperationis pseudocontinuous or continuous. In this paper we extend thisconcepts to the fuzzy case. We give a connection between the classical and thefuzzy (pseudo)continuous hyperoperations.
similar resources
fuzzy pseudotopological hypergroupoids
on a hypergroupoid one can define a topology such that the hyperoperationis pseudocontinuous or continuous. in this paper we extend thisconcepts to the fuzzy case. we give a connection between the classical and thefuzzy (pseudo)continuous hyperoperations.
full textAtanassov’s intuitionistic fuzzy index of hypergroupoids
In this work we introduce the concept of Atanassov’s intuitionistic fuzzy index of a hypergroupoid based on the notion of intuitionistic fuzzy grade of a hypergroupoid. We calculate it for some particular hypergroups, making evident some of its special properties.
full textRegularity of intuitionistic fuzzy relations on hypergroupoids
In this paper we introduce the notions of regular and strongly regular intuitionistic fuzzy relations on hypergroupoids, studying some related properties and connections with the classical case. Then we investigate the lattice structure of these kinds of intuitionistic fuzzy equivalences.
full textMultiendomorphisms of Hypergroupoids
We introduce the notion of multiendomorphism in a hypergroupoid and the notion of G-semiring. We show that, if (H, ∗) is a commutative semi-hypergroup, these multiendomorphisms form a G-semiring (E,+, ◦,≤), where the operation + is induced by ∗, ◦ is the usual composition of maps ◦ and ≤ is the usual inclusion of maps. Moreover, we show under which conditions the G-semiring (E,+, ◦,≤) is, in fa...
full textInduced Representations and Hypergroupoids
We review various notions of correspondences for locally compact groupoids with Haar systems, in particular a recent definition due to R.D. Holkar. We give the construction of the representations induced by such a correspondence. Finally, we extend the construction of induced representations to hypergroupoids.
full textTopological hypergroupoids
Hypergroups are generalizations of groups. If this binary operation is taken to be multivalued, then we arrive at a hypergroup. The motivation for generalization of the notion of group resulted naturally from various problems in non-commutative algebra, another motivation for such an investigation came from geometry. In various branches of mathematics we encounter important examples of topologi...
full textMy Resources
Journal title
volume 6 issue 4
pages 11- 19
publication date 2009-12-22
By following a journal you will be notified via email when a new issue of this journal is published.
Hosted on Doprax cloud platform doprax.com
copyright © 2015-2023