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We discuss the relationship between interval-valued fuzzy ideals and interval-valued fuzzy congruence on a distributive lattice L and show that for a generalized Boolean algebra the lattice of interval-valued fuzzy ideals is isomorphic to the lattice of interval-valued fuzzy congruences. Finally we consider the products of interval-valued fuzzy ideals and obtain a necessary and sufficient condition for an interval-valued fuzzy ideal on the direct sum of lattices to be representable as a direct sum of interval-valued fuzzy ideals on each lattice.
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참고문헌 (12)
참고문헌 신청
N. Ajmal / 1994 / Fuzzy lattices / Inform. Sci 79:271~291
R. Biswas / 1995 / Rosenfeld's fuzzy subgroups with interval-valued membership func-tions / Fuzzy set and Systems 63:87~90
최정열 / 2010 / INTERVAL-VALUED SMOOTH TOPOLOGICAL SPACES / 호남수학학술지 32(4):711~738
M. B. Gorzalczany / 1987 / A method of inference in approximate reasoning based on interval-values fuzzy sets / Fuzzy sets and Systems 21:1~17
G. Gratzer / 1978 / General Lattice Theory / Academic Press
R. Biswas / 1995 / Rosenfeld's fuzzy subgroups with interval-valued membership func-tions / Fuzzy set and Systems 63:87~90
최정열 / 2010 / INTERVAL-VALUED SMOOTH TOPOLOGICAL SPACES / 호남수학학술지 32(4):711~738
M. B. Gorzalczany / 1987 / A method of inference in approximate reasoning based on interval-values fuzzy sets / Fuzzy sets and Systems 21:1~17
G. Gratzer / 1978 / General Lattice Theory / Academic Press
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