• International Journal of Fuzzy Logic and Intelligent Systems
• /
• 제11권3호
• /
• pp.153-164
• /
• 2011

Equivalence relations and mappings for crisp sets are very well known. This paper attempts an investigation of equivalence relations and mappings for fuzzy sets. We list some concepts and results related to fuzzy relations. We give some examples corresponding to the concept of fuzzy equality and fuzzy mapping introduced by Demirci [1]. In addition, we introduce the notion of preimage and quotient of fuzzy equivalence relations. Finally, we investigate relations between a fuzzy equivalence relation and a fuzzy mapping.

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• 제10권2호
• /
• pp.134-141
• /
• 2010

We introduce the category IVSet(H) of interval-valued H-fuzzy sets and show that IVSet(H) satisfies all the conditions of a topological universe except the terminal separator property. And we study some relations among IVSet (H), ISet (H) and Set (H).

• 한국지능시스템학회:학술대회논문집
• /
• 한국퍼지및지능시스템학회 1998년도 The Third Asian Fuzzy Systems Symposium
• /
• pp.213-218
• /
• 1998

In this paper, we define and study another various generalizations of fuzzy continuous functions by using the concept of regular generalized fuzzy closed sets, A comparative study regarding the mutual interrelations among these functions along with those functions obtained in [3] is made. Finally, we have introduced and studied the notions of rgf-extremally disconnectedness and rgf-compactness

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• 제9권4호
• /
• pp.269-274
• /
• 2009

Measuring uncertainty for fuzzy sets has been carried out by calculating fuzzy entropy. Fuzzy entropy of fuzzy set is derived with the help of distance measure. The distance proportional value between the fuzzy set and the corresponding crisp set is designed as the fuzzy entropy. The usefulness is verified by proving the proposed entropy. Generally, fuzzy entropy contains the complementary characteristics that the fuzzy entropies of fuzzy set and complementary fuzzy set have the same entropies. Discrepancy that low fuzzy entropy did not guarantee the data certainty was overcome by modifying fuzzy entropy formulation. Obtained fuzzy entropy is analyzed and discussed through simple example.

• 한국지능시스템학회:학술대회논문집
• /
• 한국퍼지및지능시스템학회 2006년도 추계학술대회 학술발표 논문집 제16권 제2호
• /
• pp.157-160
• /
• 2006

본 논문에서 우리는 Wang와 Li(1998)와 Turksen(1986)에 의해 소개된 구간치 퍼지집합을 생각하고 구간치 퍼지집합상에서 쇼케이적분에 의해 정의된 엔트로피를 조사한다. 더욱이 이러한 엔트로피와 관련된 성질들을 토의하고 간단한 예들을 알아본다.

• 한국지능시스템학회논문지
• /
• 제20권4호
• /
• pp.592-595
• /
• 2010

The extended algebraic operations are defined by applying the extension principle to normal algebraic operations. And these operations are calculated for some kinds of fuzzy numbers. In this paper, we get exact membership function as a results of calculation of these operations for generalized quadratic fuzzy sets.

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• 제14권3호
• /
• pp.216-221
• /
• 2014

In this paper, we introduce the concept of generalized double fuzzy semi-basically disconnected space and related notions such as (r, s)-generalized fuzzy semiopen-$F_{\sigma}$ sets, (r, s)-generalized fuzzy semiclosed-$G_{\delta}$ sets, generalized double fuzzy $semi^*$-open function, generalized double fuzzy $semi^*$-continuous function and generalized double fuzzy $semi^*$-irresolute function. Some interesting properties and characterizations of the concepts introduced are studied.

• 호남수학학술지
• /
• 제46권1호
• /
• pp.82-100
• /
• 2024

The main objective of the study is to introduce ideals of Sheffer stroke Hilbert algebras by means of fuzzy points, and investigate some properties. The process of making (fuzzy) ideals and fuzzy deductive systems through the fuzzy points of Sheffer stroke Hilbert algebras is illustrated, and the (fuzzy) ideals and the fuzzy deductive systems are characterized. Certain sets are defined by virtue of a fuzzy set, and the conditions under which these sets can be ideals are revealed. The union and intersection of two fuzzy ideals are analyzed, and the relationships between aforementioned structures of Sheffer stroke Hilbert algebras are built.

• 한국정보과학회논문지:소프트웨어및응용
• /
• 제33권11호
• /
• pp.979-985
• /
• 2006

기존 연구에서 퍼지시스템의 신뢰도는 0과 1사이의 실수, 퍼지숫자, 신용구간 등으로 표현하고 분석한다. 본 논문에서, 우리는 퍼지시스템의 가중 구성요소의 신뢰도와 가중 구성요소의 중요도를 반영하는 가중값을 전체집합 [0, 1]에서 정의되는 모호집합으로 표현하고 분석하는 방법을 제안한다. 모호집합은 참 소속함수와 거짓 소속함수로 구성된 구간으로 표현된다. 따라서 모호집합은 퍼지시스템의 신뢰도와 가중값를 더 유연한 방법으로 표현하는 것을 가능하게 한다. 제안된 방법은 퍼지시스템내의 가중 구성요소의 가중값을 고려하므로, 제안한 방법의 신뢰도분석은 기존의 방법들 보다 더 유연하고 효과적이다.

• 한국지능시스템학회논문지
• /
• 제24권4호
• /
• pp.398-402
• /
• 2014

일반화된 삼각함수 퍼지집합은 삼각함수 퍼지수의 일반화이다. Zadeh([7])는 확률을 이용하여 퍼지이벤트에 대한 확률을 정의하였다. 우리는 정규분포와 지수분포를 각각 이용하여 실수 $\mathbb{R}$ 위에서 정규퍼지확률과 지수퍼지확률을 정의하고, 일반화된 삼각함수 퍼지집합에 대하여 정규퍼지확률과 지수퍼지확률을 계산하였다.