In this paper, we first show that z kX : Ecc(kX) −→ kX is z #-irreducible and that if G(Ecc(βX)) is a base for closed sets in βX, then Ecc(kX) is C *-embedded in Ecc(βX), where kX is the extension of X such that υX ⊆ kX ⊆ βX and kX is weakly Lindelöf. Using these, we will show that if G(βX) is a base for closed sets in βX and for any weakly Lindelöf space Y with X ⊆ Y ⊆ kX, kX = Y , then kEcc(X) = Ecc(kX) if and only if βEcc(X) = Ecc(βX).

No abstract

No abstract

No abstract

요약일반화된 삼각함수 퍼지집합은 삼각함수 퍼지수의 일반화이다. Zadeh ([7])는 확률을 이용하여 퍼지이벤트에 대한 확률을 정의하였다. 우리는 정규분포와 지수분포를 각각 이용하여 실수 ℝ 위에서 정규퍼지확률과 지수퍼지확률을 정의하고, 일반 화된 삼각함수 퍼지집합에 대하여 정규퍼지확률과 지수퍼지확률을 계산하였다. AbstractA generalized trigonometric fuzzy set is a generalization of a trigonometric fuzzy number. Zadeh ([7]) defines the probability of the fuzzy event using the probability. We define the normal and exponential fuzzy probability on ℝ using the normal and exponential distribution, respectively, and we calculate the normal and exponential fuzzy probability for generalized trigonometric fuzzy sets.