Octahedron sets

@article{ART002595381},
author={ 이정곤 and G. Senel and 임평기 and 김준희 and 허걸 },
title={Octahedron sets},
journal={ANNALS OF FUZZY MATHEMATICS AND INFORMATICS},
issn={2093-9310},
year={2020},
volume={19},
number={3},
pages={211-238},
doi={10.30948/afmi.2020.19.3.211},
url={http://dx.doi.org/10.30948/afmi.2020.19.3.211}

TY - JOUR
AU - 이정곤
AU - G. Senel
AU - 임평기
AU - 김준희
AU - 허걸
TI - Octahedron sets
T2 - ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
PY - 2020
VL - 19
IS - 3
PB - 원광대학교 기초자연과학연구소
SP - 211-238
SN - 2093-9310
AB - We define an octahedron set and introduce the notions of internal octahedron sets and external octahedron sets and study some related properties and give some examples. Also, we define Type $i$-order, Type $i$-intersection, Type $i$-union ($i=1,~2,~3,~4$) and study some of their properties. Moreover, we define an octahedron point and deal with the characterizations of Type $i$-union (Type $i$-intersection). Also, we introduce the level set of an octahedron set and obtain one property. Finally, we define the image and preimage of an octahedron set under a mapping and investigate some of their properties.
KW - Octahedron set, Internal (external) octahedron set, $i$-union, $i$-intersection, Octahedron point, Level set, Image and preimage of octahedron set
DO - 10.30948/afmi.2020.19.3.211
UR - http://dx.doi.org/10.30948/afmi.2020.19.3.211
ER -

이정곤 , G. Senel , 임평기 , 김준희 and 허걸 (2020). Octahedron sets. ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 19( 3), 211- 238.

이정곤 , G. Senel , 임평기 , 김준희 and 허걸 . 2020, “Octahedron sets”, ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, vol. 19, no. 3, pp. 211-238. Available from: doi:10.30948/afmi.2020.19.3.211

이정곤 G. Senel et al. 임평기 김준희 허걸 “Octahedron sets” ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 19.3 pp. 211-238 (2020): 211.

이정곤 , G. Senel , 임평기 , 김준희 , 허걸 . Octahedron sets ANNALS OF FUZZY MATHEMATICS AND INFORMATICS [Internet]. 2020; 19( 3), : 211-238. Available from: doi:10.30948/afmi.2020.19.3.211

이정곤 , G. Senel , 임평기 , 김준희 and 허걸 . “Octahedron sets” ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 19, no.3 (2020): 211-238. doi: 10.30948/afmi.2020.19.3.211

홈 권호 목록 논문 목록 논문 상세

Octahedron sets

ANNALS OF FUZZY MATHEMATICS AND INFORMATICS

약어 : -

2020, vol.19, no.3, pp.211 - 238

DOI : 10.30948/afmi.2020.19.3.211

발행기관 : 원광대학교 기초자연과학연구소

연구분야 : 수학

이정곤¹ , G. Senel² , 임평기³ , 김준희⁴ , 허걸⁵

¹원광대학교

²Department of Mathematics, Amasya University, Turkey

³원광대학교

⁴원광대학교

⁵원광대학교

인용한 논문 수 : 15 서지 간략 보기

초록

We define an octahedron set and introduce the notions of internal octahedron sets and external octahedron sets and study some related properties and give some examples. Also, we define Type $i$-order, Type $i$-intersection, Type $i$-union ($i=1,~2,~3,~4$) and study some of their properties. Moreover, we define an octahedron point and deal with the characterizations of Type $i$-union (Type $i$-intersection). Also, we introduce the level set of an octahedron set and obtain one property. Finally, we define the image and preimage of an octahedron set under a mapping and investigate some of their properties.

키워드

Octahedron set, Internal (external) octahedron set, $i$-union, $i$-intersection, Octahedron point, Level set, Image and preimage of octahedron set

참고문헌(20)

[학술지] K. T. Atanassov / 1986 / Intuitionistic fuzzy sets / Fuzzy Sets and Systems 20 : 87 ~ 96
[학술지] K. T. Atanassov / 1989 / Interval-valued intuitionistic fuzzy sets / Fuzzy Sets and Systems 31 : 343 ~ 349
[학술지] D. Coker / 1996 / A note on intuitionistic sets and intuitionistic points / Tr. J. of Mathematics 20 : 343 ~ 351
[학술지] 정민석 / 2010 / Intuitionistic Interval-Valued Fuzzy Sets / 한국지능시스템학회 논문지 20 (6) : 864 ~ 876
[학술지] W. L. Gau / 1993 / Vague sets / IEEE Trans. Systems Man Cybernet 23 (2) : 610 ~ 614
[학술지] M. B. Gorzalczany / 1987 / A method of inference in approximate reasoning based on interval-valued fuzzy sets / Fuzzy sets and Systems 21 : 1 ~ 17
[학술지] 정영배 / 2017 / A novel extension of cubic sets and its applications in $BCK/BCI$-algebras / ANNALS OF FUZZY MATHEMATICS AND INFORMATICS 14 (5) : 475 ~ 486
[학술지] Y. B. Jun / 2012 / Cubic sets / Ann. Fuzzy Math. Inform 4 (1) : 83 ~ 98
[학술지] Y. B. Jun / 2015 / Neutrosophic cubic sets / New Mathematics and Natural Computation : 1 ~ 15
[학술지] Y. B. Jun / 2018 / Cubic interval-valued intuitionistic fuzzy sets and their application in BCK/BCI-algebras / Axioms 7 : 7
[학술지] G. Kaur / 2018 / Multi-attribute decision-making based on bonferroni mean op-erators under cubic intuitionistic fuzzy environment / Entropy 20 (1) : 65
[학술지] G. Kaur / 2018 / Cubic intuitionistic fuzzy aggregation operators / International Journal for Uncertainty Quanti cation 8 (5) : 405 ~ 428
[단행본] J. H. Kim / Interval-valued intutionistic cubic sets
[학술지] S. J. Lee / 2000 / The category of intuitionistic fuzzy topological spaces / Bull. Korean Math. Soc 37 (1) : 63 ~ 76
[학술지] D. Molodtsov / 1999 / Soft set theory-First results / Computer Math. Applic 37 : 19 ~ 31
[학술지] T. K. Mondal / 1999 / Topology of interval-valued fuzzy sets / Indian J. Pure Appl. Math 30 (1) : 133 ~ 189
[학술지] Z. Pawlak / 1982 / Rough sets / International Journal of Information and Computer Sciences 11 : 341 ~ 356
[단행본] F. Smarandache / 1998 / Neutrosophy, Neutrosophic Probability, and Logic / American Research Press
[학술지] L. A. Zadeh / 1965 / Fuzzy sets / Information and Control 8 : 338 ~ 353
[학술지] L. A. Zadeh / 1975 / The concept of a linguistic variable and its application to approximate reasoning-I / Inform. Sci 8 : 199 ~ 249