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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
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- 원광대학교 기초자연과학연구소 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 제14권 제3호
- 발행연도
- 2017.9
- 수록면
- 315 - 330 (16page)
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In this paper we give several characterizations for fuzzy ideals, fuzzy homomorphisms, and fuzzy congruences of an almost distributive lattice. In addition, the quotient of an almost distributive lattice induced by a fuzzy congruence is also presented in the paper. Furthermore, we obtain a kind of fuzzy congruences for which their quotient is a distributive lattice and for which it is not. Mainly, we construct a monomorphism of the lattice of fuzzy ideals into the lattice of fuzzy congruences of almost Boolean rings, and we give a necessary and sufficient condition for this monomorphism to become a lattice isomorphism.
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참고문헌 (11)
참고문헌 신청
A. B. Chakraborty / 1993 / Fuzzy homomorphism and algebraic structures / Fuzzy Sets and Systems 59:211~221
W. J. Liu / 1982 / Fuzzy invariant subgroups and fuzzy ideals / Fuzzy Sets and Systems 8:133~139
D. S. Malik / 1992 / Fuzzy homomorphism of rings / Fuzzy Sets and Systems 46:139~146
Y. S. Pawar / 2012 / Congruence Relations on Almost Distributive Lattices / Southeast Asian Bull. Math 36:519~527
A. Rosenfeld / 1971 / Fuzzy Groups / J. Math. Anal. Appl 35:512~517
W. J. Liu / 1982 / Fuzzy invariant subgroups and fuzzy ideals / Fuzzy Sets and Systems 8:133~139
D. S. Malik / 1992 / Fuzzy homomorphism of rings / Fuzzy Sets and Systems 46:139~146
Y. S. Pawar / 2012 / Congruence Relations on Almost Distributive Lattices / Southeast Asian Bull. Math 36:519~527
A. Rosenfeld / 1971 / Fuzzy Groups / J. Math. Anal. Appl 35:512~517
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