Journal ArticleDOI
On some product of fuzzy subgroups
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TLDR
A kind of product of fuzzy subsets (subgroups of a group) is defined analogously to the pointwise product of functions via a triangular norm T, and some properties of the T -product of fuzzy subgroups ofA group are investigated.About:
This article is published in Fuzzy Sets and Systems.The article was published on 1987-09-21. It has received 49 citations till now. The article focuses on the topics: Product (mathematics) & Direct product.read more
Citations
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Journal ArticleDOI
On the definition of a fuzzy subgroup
S. K. Bhakat,P. Das +1 more
TL;DR: Using the idea of quasi-coincidence of a fuzzy point with a fuzzy set, some new concepts of a fuzzy subgroup are introduced and their acceptibility is investigated.
Journal ArticleDOI
Possibility and necessity representations of fuzzy inequality and its application to two warehouse production-inventory problem
TL;DR: In this paper, possibility and necessity representations of fuzzy inequality constraints are presented and then crisp versions of the constraints are derived, analogous to chance constraints, real-life necessity and possibility constraints in the context of two warehouse multi-item dynamic production-inventory control system are defined and defuzzified following fuzzy relations.
Journal ArticleDOI
On properties of fuzzy left h-ideals in hemirings with t-norms
TL;DR: The notion of T-fuzzy left h-ideals in a hemiring is introduced and basic properties are investigated, and the notion of a finite-valued T-magnifying-h-ideal is introduced, and its characterization is given.
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ON PROPERTIES OF FUZZY HYPERIDEALS IN HYPERNEAR-RINGS WITH t-NORMS
TL;DR: By means of the use of a triangular normT, the notion of T-fuzzy hyperideals in hypernear-rings is stated, and basic properties are investigated.
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Characterization of Q-fuzzy subrings (Anti Q-fuzzy subrings) with respect to a T-norm (T-conorm)
TL;DR: This paper introduces the concept of Q-fuzzy subrings and anti Q-magnifying subrings by using a t-norm T and a T-conorm C, respectively and investigates some their properties.
References
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Journal ArticleDOI
Fuzzy invariant subgroups and fuzzy ideals
TL;DR: This paper will give a characteristic of a field by a fuzzy ideal, as fuzzy invariant subgroups, fuzzy ideals, and to prove some fundamental properties of fuzzy algebra.
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A characterization of fuzzy subgroups
J.M Anthony,H Sherwood +1 more
TL;DR: It is shown that a fuzzy subgroup satisfies the above inequality with T = ‘minimum’ if and only if it is subgroup generated of a very special type, and these notions are applied to some abstract pattern recognition problems.
Journal ArticleDOI
Products of fuzzy subgroups
TL;DR: In this paper a study of products of fuzzy subgroups is begun, and some results relate the t-norm, used in forming the product, to the strength of the ensuing inequality.
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On fuzzy subgroups and fuzzy ideals under triangular norms
TL;DR: It is pointed out that the principal results of Liu 1982 basically deduced from the definition of binary operation on the set F ( X ) of all fuzzy subsets of X, also hold if one uses the weaker definition of product under triangular norm.