Hypergroups associated with HX-groups-Reference-Cited by-同舟云学术

Hypergroups associated with HX-groups

Published:2017-07-26 Issue:2 Volume:25 Page:49-64
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Corsini Piergiulio¹

Affiliation:

1. Department of Polytechnical Engineering, University of Udine, Via delle Scienze 206, 33100 Udine , Italy

Abstract

Abstract We have already studied a correspondence between HX-groups and hypergroups. Now we extend this correspondence to semigroups of sub- sets of a group G (and to begin, we considered ℤ2 × ℤ3 as group G). Moreover these subsets can have non empty intersection, they can be contained, one in another one. One calculates the fuzzy grade and we find always ∂H = 1.

Publisher

Walter de Gruyter GmbH

Reference34 articles.

1. [1] R. Ameri, M.M. Zahedi, Hypergroup and join space induced by a fuzzy subset, PU.M.A., vol. 8, (2-3-4) (1997).

2. [2] P. Corsini, Prolegomena of Hypergroup Theory, Aviani Editore, (1993).

3. [3] P. Corsini, On Chinese hyperstructures, J. of Discrete Math. Sci and Cryptography, Vol 6 (2-3) (2003).

4. [4] P. Corsini, Join Spaces, Power Sets, Fuzzy Sets, Proc. Fifth Interna- tional Congress on A.H.A., 1993, Iasi, Romania

5. [5] P. Corsini, A new connection between hypergroups and fuzzy sets, South- east Bulletin of Math., 27 (2003)

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An Introduction to NeutroHX-Groups;Advances in Computer and Electrical Engineering;2022-04-15

2. Links Between HX-Groups and Hypergroups;Algebra Colloquium;2021-07-26