• 한국지능시스템학회:학술대회논문집
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• 한국지능시스템학회 2008년도 춘계학술대회 학술발표회 논문집
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• pp.362-365
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• 2008

In the conventional fuzzy system reliability analysis, the reliabilities of the fuzzy systems and the components of fuzzy systems are represented by real values between zero and one, fuzzy numbers, vague sets, interval valued fuzzy sets, etc. This paper propose a method to represent and analyze the reliabilities of the fuzzy systems based on the internal valued vague sets defined in the universe of discourse [0, 1]. In the interval valued vague sets, the upper bounds and the lower bounds of the conventional vague sets are represented as the intervals, therefore it can allow the reliabilities of a fuzzy system to represent and analyze in a more flexible manner.

• Journal of applied mathematics & informatics
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• 제7권1호
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• pp.335-346
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• 2000

This paper discusses the relation of fuzzy sets satisfying some types of fuzzy covering properties. We give some characterizations of such fuzzy sets and investigate a few properties.

• 한국지능시스템학회:학술대회논문집
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• 한국퍼지및지능시스템학회 2003년도 ISIS 2003
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• pp.463-466
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• 2003

Fuzzy set expressing category in fuzzy rating, which is a kind of psychological scaling, is dependent on situations. This paper assumes that a mapping exists between fuzzy sets expressing categories in some situation and those expressing same categories in another situation. fuzzy sets expressing categories in some situation are obtained by fuzzy sets expressing categories in another situation and the mapping between them. The usefulness of the present method is confirmed by the experiments comparing fuzzy sets obtained by the presented method with those identified directly by fuzzy rating. The normalized distance is used to compare both fuzzy sets and the experimental results show that the normalized distances between both fuzzy sets are enough small and that the presented method is useful for psychological scaling.

• 인터넷정보학회논문지
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• 제4권4호
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• pp.45-51
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• 2003

일반적으로 퍼지객체지향자료모형에서 속성값은 퍼지집합을 표현한다. 만일 퍼지객체지향자료모형에서 속성값을 구간값 퍼지집합으로 표현할 수 있다면, 퍼지객체지향자료모형에서 사용하는 속성값을 더 유연하게 표현하는 것이 가능하다. 퍼지객체지향자료모형의 상속구조에 나타나는 프레임내에 있는 속성값을 구하기 위해 구간값 퍼지집합을 사용하는 우선순위 논리곱연산을 이용하여 계산한다. 이 방법은 속성값의 소속정도가 기존의 퍼지집합이 아닌 구간값 퍼지집합으로 표현하는 지식정보처리분야에서 사용할 수 있다.

• East Asian mathematical journal
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• 제28권1호
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• pp.1-11
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• 2012

In this paper, the concept of fuzzy soft module is introduced, some of their properties are discussed. Furthermore, the concept of fuzzy soft exactness is also given.

• Journal of Applied and Pure Mathematics
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• 제5권1_2호
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• pp.121-128
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• 2023

The aim of this article is to extend hesitant fuzzy minimal open and hesitant fuzzy maximal open sets in hesitant fuzzy topological space. Further, we investigate some properties with these new sets.

• Journal of applied mathematics & informatics
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• 제28권5_6호
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• pp.1419-1430
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• 2010

Since Goetschel and Voxman [5] proposed a linear order on fuzzy numbers, several authors studied the concept of semicontinuity and convexity of fuzzy mappings defined through the order. Since the order is only defined for fuzzy numbers on $\mathbb{R}$, it is natural to find a new order for normal fuzzy sets on $\mathbb{R}^n$ in order to study the concept of semicontinuity and convexity of fuzzy mappings on normal fuzzy sets. In this paper, we introduce a new order "${\preceq}_s$ for normal fuzzy sets on $\mathbb{R}^n$ with respect to the support function. We define the semicontinuity and convexity of fuzzy mappings with this order. Some issues which are related with semicontinuity and convexity of fuzzy mappings will be discussed.

• 충청수학회지
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• 제26권2호
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• pp.297-308
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• 2013

We define one-sided quadrangular fuzzy sets, a left quadrangular fuzzy set and a right quadrangular fuzzy set. And then we generalize the results of addition, subtraction, multiplication, and division based on the Zadeh's extension principle for two one-sided quadrangular fuzzy sets. In addtion, we find the condition that the result of addition or subtraction for two one-sided quadrangular fuzzy sets becomes a triangular fuzzy number.

• 호남수학학술지
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• 제29권2호
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• pp.223-244
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• 2007

We introduce the notions of interval-valued fuzzy semipreopen sets (mappings), interval-valued fuzzy semi-pre interior and interval-valued fuzzy semi-pre-continuous mappings by using the notion of interval-valued fuzzy sets. We also investigate related properties and characterize interval-valued fuzzy semi-preopen sets (mappings) and interval-valued fuzzy semi-precontinuous mappings.

• International Journal of Fuzzy Logic and Intelligent Systems
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• 제5권2호
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• pp.136-139
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• 2005

In this paper, we introduce the concepts of fuzzy (r,s)-preopen sets and fuzzy (r,s)-precontinuous mappings on intuitionistic fuzzy topological spaces in Sostak's sense and then we investigate some of their characteristic properties.