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- Title
INT-SOFT STRUCTURES APPLIED TO ORDERED SEMIHYPERGROUPS.
- Authors
DAVVAZ, BIJAN; KHAN, ASGHAR; FAROOQ, MUHAMMAD
- Abstract
Molodtsov introduced the theory of soft sets, which can be seen as a new mathematical approach to vagueness. The main goal of this paper is to introduce and study some classes of ordered semihypergroups and to investigate some interesting characterizations theorems of these classes in terms of int-soft hyperideals. In this respect, we characterize weakly regular ordered semihypergroups for example (see Theorems 3.4, 3.5 and 3.7) intra-regular and left weakly-regular ordered semihypergroups (see Theorems 4.2 and 4.4) and semisimple ordered semihypergroups (see Theorems 5.5 and 5.7) in terms of int-soft hyperideals. In this regard, we study semisimple ordered semihypergroups and characterize it in terms of intsoft hyperideals. We also characterize intra-regular and weakly-regular ordered semihypergroups in terms of int-soft hyperideals.
- Subjects
SOFT sets; ALGEBRAIC functions; ABELIAN groups; ROUGH sets; SMOOTHNESS of functions
- Publication
Le Matematiche, 2018, Vol 73, Issue 2, p235
- ISSN
0373-3505
- Publication type
Article
- DOI
10.4418/2018.73.2.2