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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 제13권 제6호
- 발행연도
- 2017.6
- 수록면
- 665 - 687 (23page)
- DOI
- 10.30948/afmi.2017.13.6.665
이용수
초록· 키워드
오류제보하기
In the present paper, the interval valued (∈, ∈∨q)-fuzzy filter theory in MTL-algebras is further studied.
Some new concepts of interval valued (∈, ∈∨q)-fuzzy prime, ultra, regular, strong and divisible filters are introduced and their properties and equivalent characterizations are investigated.
Relationships among the above new concepts and interval valued (∈, ∈∨q)-fuzzy Boolean, MV- and G-filters are discussed.
It is proved that an interval valued (∈, ∈∨q)-fuzzy filter is an interval valued (∈, ∈∨q)-fuzzy MV-filter if and only if it is both an interval valued (∈, ∈∨q)-fuzzy regular filter and an interval valued (∈, ∈∨q)-fuzzy divisible filter.
목차
등록된 정보가 없습니다.
참고문헌 (15)
참고문헌 신청
R. A. Borzooer / 2012 / Some types of lters in MTL-algebras / Fuzzy Sets and Systems 187:92~102
R. Belohlavek / 2013 / Some properties of residuated lattices / Czechoslovak Math. J 123:161~171
R. Belohlavek / 2002 / Fuzzy Relational Systems: Foundations and Principles / Kluwer Academic
F. Esteva / 2001 / Monoidal t-norm based logic: towards a logic for left-continuous t-norms / Fuzzy Sets and Systems 124:271~288
P. Hajek / 1998 / Metamathematics of Fuzzy Logic / Kluwer Academic Publisher
R. Belohlavek / 2013 / Some properties of residuated lattices / Czechoslovak Math. J 123:161~171
R. Belohlavek / 2002 / Fuzzy Relational Systems: Foundations and Principles / Kluwer Academic
F. Esteva / 2001 / Monoidal t-norm based logic: towards a logic for left-continuous t-norms / Fuzzy Sets and Systems 124:271~288
P. Hajek / 1998 / Metamathematics of Fuzzy Logic / Kluwer Academic Publisher
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