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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 원광대학교 기초자연과학연구소 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 제17권 제1호
- 발행연도
- 2019.1
- 수록면
- 17 - 30 (14page)
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초록· 키워드
오류제보하기
First, we define an ordinary smooth filter and obtain its some properties. In particular, we obtain the necessary and sufficient condition of an ordinary smooth filter (See Theorem 3.9). Second, we define an ordinary smooth filter base (See Theorem 4.1). Third, we introduce the concept of an ordinary smooth ultrafilter and study its some properties. Moreover, we obtain the necessary and sufficient condition of an induced ordinary smooth filter (See Theorem 5.8). Fourth, we define the image and the inverse image of an ordinary smooth filter. Finally, we introduce level set and strong level set of an ordinary smooth filter and obtain their some properties.
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참고문헌 (20)
참고문헌 신청
Nicolas Bourbaki / 1966 / General topology Part 1 / Addison-Wesley Publishing Company
Nicolas Bourbaki / 1968 / Theory of sets / Addison-Wesley Publishing Company
C. L. Chang / 1968 / Fuzzy topological spaces / J. math. Anal. Appl 24:182~190
K. C. Chattopadhyay / 1992 / Gradation of openness: fuzzy topology / Fuzzy Sets and Systems 49:237~242
K. C. Chattopadhyay / 1993 / Fuzzy topology: fuzzy closure operator,fuzzy compactness / Fuzzy Sets and Systems 54:207~212
Nicolas Bourbaki / 1968 / Theory of sets / Addison-Wesley Publishing Company
C. L. Chang / 1968 / Fuzzy topological spaces / J. math. Anal. Appl 24:182~190
K. C. Chattopadhyay / 1992 / Gradation of openness: fuzzy topology / Fuzzy Sets and Systems 49:237~242
K. C. Chattopadhyay / 1993 / Fuzzy topology: fuzzy closure operator,fuzzy compactness / Fuzzy Sets and Systems 54:207~212
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