Applications of soft intersection sets to hemirings via SI-h-bi-ideals and SI-h-quasi-ideals
نویسندگان
چکیده
منابع مشابه
SOFT INTERSECTION h-IDEALS OF HEMIRINGS AND ITS APPLICATIONS
In this paper, we introduce a new kind of soft hemirings called soft intersection hemirings and obtain some related properties. Some basic operations are also investigated. Finally, we describe some characterizations of h-hemiregular hemirings by means of SI-h-ideals.
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By means of a kind of new idea, we consider the $(in,ivq)$-fuzzy$h$-ideals of a hemiring. First, the concepts of $(in,ivq)$-fuzzyleft(right) $h$-ideals of a hemiring are provided and some relatedproperties are investigated. Then, a kind of quotient hemiring ofa hemiring by an $(in,ivq)$-fuzzy $h$-ideal is presented andstudied. Moreover, the notions of generalized $varphi$-compatible$(in,ivq...
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A characterization of an h-hemiregular hemiring in terms of a fuzzy h-ideal is provided. Some properties of prime fuzzy h-ideals of h-hemiregular hemirings are investigated. It is proved that a fuzzy subset f of a hemiring S is a prime fuzzy left (right) h-ideal of S if and only if f is two-valued, f(0) = 1, and the set of all x in S such that f(x) = 1 is a prime (left) right h-ideal of S. Fina...
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We introduce the notion of intuitionistic fuzzy (left) h-ideals of hemirings and investigate their properties connected with the corresponding level subsets. Methods of constructions of such intuitionistic fuzzy ideals from given sequences of left h-ideals of a hemiring R are presented. Some natural classification of such intuitionistic fuzzy h-ideals is given. Key–Words: Hemiring, fuzzy set, i...
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ژورنال
عنوان ژورنال: Filomat
سال: 2016
ISSN: 0354-5180,2406-0933
DOI: 10.2298/fil1608295m