KOAJKorea
Open Access Journals

@article{ART002558330},
author={ 김준희 and 임평기 and 이정곤 and 허걸 },
title={ Cubic relations },
journal={ ANNALS OF FUZZY MATHEMATICS AND INFORMATICS },
issn={2093-9310},
year={2020},
number={1},
pages={21 - 43},
doi={10.30948/afmi.2020.19.1.21},
url={http://dx.doi.org/10.30948/afmi.2020.19.1.21}

TY - JOUR
AU - 김준희 AU - 임평기
AU - 이정곤
AU - 허걸
TI - Cubic relations
T2 - ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
PY - 2020
VL - 19
IS - 1
PB - 원광대학교 기초자연과학연구소
SP - 21 - 43
SN - 2093-9310
AB - 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.
KW - Cubic set, Cubic point, Cubic relation, Cubic equivalence relation, Cubic partition, Cubic quotient set
DO - 10.30948/afmi.2020.19.1.21
UR - http://dx.doi.org/10.30948/afmi.2020.19.1.21
ER -

김준희 , 임평기 , 이정곤 and 허걸 (2020). Cubic relations. ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 19(1), 21 - 43.

김준희 , 임평기 , 이정곤 and 허걸 . 2020, “Cubic relations”, vol.19, no.1, pp. 21 - 43. Available from: doi:10.30948/afmi.2020.19.1.21

김준희 외. “Cubic relations“ ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 19.1 pp. 21 - 43. (2020): 21.

김준희 , 임평기 , 이정곤 , 허걸 . Cubic relations ANNALS OF FUZZY MATHEMATICS AND INFORMATICS [Internet]. 2020; 19(1), : 21 - 43. Available from: doi:10.30948/afmi.2020.19.1.21

김준희 , 임평기 , 이정곤 and 허걸 . “Cubic relations“ ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 19, no.1, (2020): 21 - 43. doi: :10.30948/afmi.2020.19.1.21