Results 1 to 10 of about 171 (56)
On ideals of implicative semigroups [PDF]
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 2, Page 77-82, 2001., 2001 We introduce the notion of ideals in implicative semigroups, and then state the characterizations of the ideals.
Young Bae Jun, Kyung Ho Kim
wiley +4 more sources
Generalized Bi-ideal of Ordered Semigroup Related to Intuitionistic Fuzzy Point [PDF]
Matrix Science Mathematic, 2017 Intuitionistic fuzzy generalized bi-ideals play an important role in the study of ordered semigroups. In this paper, we try obtain more general form of intuitionistic fuzzy generalized bi-ideal of an ordered semigroup.
Hidayat Ullah Khan +3 more
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On an equivalence between regular ordered Γ-semigroups and regular ordered semigroups
Open Mathematics, 2020 In this paper, we develop a technique which enables us to obtain several results from the theory of Γ-semigroups as logical implications of their semigroup theoretical analogues.
Çullhaj Fabiana, Krakulli Anjeza
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Fuzzy positive implicative ordered filters of implicative semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 5, Page 263-270, 2002., 2002 We consider the fuzzification of the notion of a positive implicative ordered filter in implicative semigroups. We show that every fuzzy positive implicative ordered filter is both a fuzzy ordered filter and a fuzzy implicative ordered filter. We give examples that a fuzzy (implicative) ordered filter may not be a fuzzy positive implicative ordered ...
Young Bae Jun +2 more
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On rough sets induced by fuzzy relations approach in semigroups
Open Mathematics, 2018 In this paper, we introduce a rough set in a universal set based on cores of successor classes with respect to level in a closed unit interval under a fuzzy relation, and some interesting properties are investigated.
Prasertpong Rukchart, Siripitukdet Manoj
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Some results on ordered filters of implicative semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 12, Page 731-735, 2001., 2001 We introduce a special set in an implicative semigroup. Using it, an equivalent condition of an ordered filter is stated. We prove that an ordered filter can be represented by the union of such sets.
Young Bae Jun
wiley +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 11, Page 707-712, 2001., 2001 We consider the semigroup S¯ of the fuzzy points of a semigroup S, and discuss the relation between the fuzzy interior ideals and the subsets of S¯ in an (intra‐regular) semigroup S.
Kyung Ho Kim
wiley +1 more source
Intuitionistic fuzzy interior ideals of semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 261-267, 2001., 2001 We consider the intuitionistic fuzzification of the concept of interior ideals in a semigroup S, and investigate some properties of such ideals. For any homomorphism f from a semigroup S to a semigroup T, if B = (μB, γB) is an intuitionistic fuzzy interior ideal of T, then the preimage f−1(B) = (f−1(μB), f−1(γB)) of B under f is an intuitionistic fuzzy
Kyung Ho Kim, Young Bae Jun
wiley +1 more source
Positive implicative ordered filters of implicative semigroups
International Journal of Mathematics and Mathematical Sciences, Volume 23, Issue 12, Page 801-806, 2000., 2000 We introduce the notion of positive implicative ordered filters in implicative semigroups. We show that every positive implicative ordered filter is both an ordered filter and an implicative ordered filter. We give examples that an ordered filter (an implicative ordered filter) may not be a positive implicative ordered filter.
Young Bae Jun, Kyung Ho Kim
wiley +1 more source
A further study on ordered regular equivalence relations in ordered semihypergroups
Open Mathematics, 2018 In this paper, we study the ordered regular equivalence relations on ordered semihypergroups in detail. To begin with, we introduce the concept of weak pseudoorders on an ordered semihypergroup, and investigate several related properties.
Tang Jian +3 more
doaj +1 more source