A characterization of regular, intra-regular, left quasi-regular and semisimple hypersemigroups in terms of fuzzy sets
نویسندگان
چکیده
منابع مشابه
A characterization of regular, intra-regular, left quasi-regular and semisimple hypersemigroups in terms of fuzzy sets
We prove that an hypersemigroup H is regular if and only, for any fuzzy subset f of H, we have f f ◦ 1 ◦ f and it is intra-regular if and only if, for any fuzzy subset f of H, we have f 1 ◦ f ◦ f ◦ 1. An hypersemigroup H is left (resp. right) quasi-regular if and only if, for any fuzzy subset f of S we have f 1 ◦ f ◦ 1 ◦ f (resp. f f ◦ 1 ◦ f ◦ 1) and it is semisimple if and only if, for any fuz...
متن کاملCharacterization of Left Quasi-regular and Semisimple Ordered Semigroups in Terms of Fuzzy Sets
We characterize the left (right) quasi-regular and the semisimple ordered semigroups in terms of fuzzy sets. Mathematics Subject Classification: 06F05 (08A72)
متن کاملRegular ordered semigroups and intra-regular ordered semigroups in terms of fuzzy subsets
Let $S$ be an ordered semigroup. A fuzzy subset of $S$ is anarbitrary mapping from $S$ into $[0,1]$, where $[0,1]$ is theusual interval of real numbers. In this paper, the concept of fuzzygeneralized bi-ideals of an ordered semigroup $S$ is introduced.Regular ordered semigroups are characterized by means of fuzzy leftideals, fuzzy right ideals and fuzzy (generalized) bi-ideals.Finally, two m...
متن کاملregular ordered semigroups and intra-regular ordered semigroups in terms of fuzzy subsets
let $s$ be an ordered semigroup. a fuzzy subset of $s$ is anarbitrary mapping from $s$ into $[0,1]$, where $[0,1]$ is theusual interval of real numbers. in this paper, the concept of fuzzygeneralized bi-ideals of an ordered semigroup $s$ is introduced.regular ordered semigroups are characterized by means of fuzzy leftideals, fuzzy right ideals and fuzzy (generalized) bi-ideals.finally, two m...
متن کامل$r$-fuzzy regular semi open sets in smooth topological spaces
In this paper, we introduce and study the concept of $r$-fuzzy regular semi open (closed) sets in smooth topological spaces. By using $r$-fuzzy regular semi open (closed) sets, we define a new fuzzy closure operator namely $r$-fuzzy regular semi interior (closure) operator. Also, we introduce fuzzy regular semi continuous and fuzzy regular semi irresolute mappings. Moreover, we investigate the ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pure Mathematics and Applications
سال: 2017
ISSN: 1788-800X
DOI: 10.1515/puma-2015-0021