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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 제19권 제1호
- 발행연도
- 2020.1
- 수록면
- 21 - 43 (23page)
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Various relations of fuzzy types has been applied to decision makings, graph theories, congruence problems in algebras and quotient spaces in topological spaces, etc. Then in this paper, we deal with cubic relations as one of various fuzzy type's relations. First, we define a cubic point and obtained some of its properties. Second, we introduce the notions of cubic reflexive [resp. symmetric and transitive] relations, and we define the composition of two cubic relations and the inverse of a cubic relation. And investigate some of each properties and give some examples. Third, we define the concepts of cubic equivalence relations, cubic equivalence classes and cubic partitions, and obtain some of each properties, respectively. Finally, we define a $<\widetilde{a},\alpha>$-level relation of a cubic relation and study some of its properties.
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참고문헌 (31)
참고문헌 신청
안선신 / 2014 / CUBIC SUBALGEBRAS AND FILTERS OF CI-ALGEBRAS / 호남수학학술지 36(1):43~54
M. Akram / 2013 / Cubic KU-subalgebras / Int. J. Pure Appl. Math 89(5):659~665
M. K. Chakraborty / 1983 / Studies in fuzzy relations over fuzzy subsets / Fuzzy sets and Systems 9:79~89
M. K. Chakraborty / 1983 / On fuzzy equivalence I / Fuzzy sets and Systems 11:185~193
M. K. Chakraborty / 1983 / On fuzzy equivalence II / Fuzzy sets and Systems 11:299~307
M. Akram / 2013 / Cubic KU-subalgebras / Int. J. Pure Appl. Math 89(5):659~665
M. K. Chakraborty / 1983 / Studies in fuzzy relations over fuzzy subsets / Fuzzy sets and Systems 9:79~89
M. K. Chakraborty / 1983 / On fuzzy equivalence I / Fuzzy sets and Systems 11:185~193
M. K. Chakraborty / 1983 / On fuzzy equivalence II / Fuzzy sets and Systems 11:299~307
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