• 호남수학학술지
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• 제25권1호
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• pp.19-41
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• 2003

In this paper, we introduce the concepts of intuitionistic fuzzy subgroups and intuitionistic fuzzy subrings and investigated some of their properties.

• 충청수학회지
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• 제22권3호
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• pp.399-408
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• 2009

A bipolar fuzzy translation and a bipolar fuzzy S-extension of a bipolar fuzzy subalgebra in a BCK/BCI-algebra are introduced, and related properties are investigated.

• Journal of applied mathematics & informatics
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• 제19권1_2호
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• pp.457-466
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• 2005

In this paper we present the concepts of fuzzy submachine, which are the generalized form of crisp submachine of a fuzzy finite state machine. Also we extend the concepts of system of generators to fuzzified form.

• Korean Journal of Mathematics
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• 제5권1호
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• pp.35-48
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• 1997

We will define the fuzzy quasi-proximity space and investigate some properties of fuzzy quasi-proximity spaces. We will prove the existences of initial fuzzy quasi-proximity structures. From this fact, we can define subspaces and products of fuzzy quasi-proximity spaces.

• Korean Journal of Mathematics
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• 제27권2호
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• pp.329-342
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• 2019

In this paper, we introduce the notion of L-fuzzy semi-prime ideals and the radical of L-fuzzy ideals in universal algebras and make a theoretical study on their basic properties.

• East Asian mathematical journal
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• 제25권2호
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• pp.119-126
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• 2009

In this paper slightly fuzzy continuous mappings is introduced and some interesting properties and characterizations of slightly fuzzy continuous mappings are discussed.

• Journal of applied mathematics & informatics
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• 제10권1_2호
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• pp.251-259
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• 2002

The fuzzification of an ideal in a Lie algebra is considered. Using a level subset of a fuzzy subset of a Lie algebra, we give a characterization of a fuzzy ideal, and using a family of ideals of a Lie algebra, we establish a fuzzy ideal. With relation to the ascending chain of ideals, a characterization for the set of values of any fuzzy ideal to be a well-ordered subset of the closed unit interval [0,1] is stated.

• Journal of applied mathematics & informatics
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• 제29권3_4호
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• pp.1049-1057
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• 2011

In this paper, we fuzzify the concept of BE-algebras, investigate some of their properties. We give a characterization of fuzzy BE-algebras, and discuss a characterization of fuzzy BE-algebras in terms of level subalgebras of fuzzy BE-algebras.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제5권1호
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• pp.29-34
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• 2005

The aim of this paper is to introduce fuzzy γ-continuity and fuzzy γ-retracts in a fuzzy topology on fuzzy sets and establish some of their properties. Also, the relations between these new concepts are discussed.

• Annals of Fuzzy Mathematics and Informatics
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• 제16권3호
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• pp.317-331
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• 2018

This paper aims to extend the notion of hesitant fuzzy sets on UP-algebras to hesitant fuzzy soft sets over UP-algebras by merging the notions of hesitant fuzzy sets and soft sets. Further, we discuss the notions of hesitant fuzzy soft strongly UP-ideals, hesitant fuzzy soft UP-ideals, hesitant fuzzy soft UP-filters, and hesitant fuzzy soft UP-subalgebras of UP-algebras, and provide some properties.