논문KCI 등재
INITIAL SOFT L-FUZZY PREPROXIMITIES
한국수학교육학회|2016.05|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제23권 제2호|pp. 119-130
2
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
In this paper, we introduce the notions of soft L-fuzzy preproximities in complete residuated lattices. We prove the existence of initial soft L-fuzzy preproximities. From this fact, we define subspaces and product spaces for soft L-fuzzy preproximity spaces. Moreover, we give their examples.
Abstract
In this paper, we introduce the notions of soft L-fuzzy preproximities in complete residuated lattices. We prove the existence of initial soft L-fuzzy preproximities. From this fact, we define subspaces and product spaces for soft L-fuzzy preproximity spaces. Moreover, we give their examples.
참고문헌 (16)
- K.V. Babitha, "Soft set relations and functions", Compu. Math. Appl, 60, pp.1840~1849 (2010)
- N. CaÄgman, "Soft topology", Comput. Math. Appl, 62(1), pp.351~358 (2011)
- D. Cimoka, "L-fuzzy syntopogenous structures, Part I: Fundamentals and application to L-fuzzy topologies, L-fuzzy proximities and L-fuzzy uniformities", Fuzzy Sets and Systems, 232, pp.74~97 (2013)
- F. Feng, "Soft sets and soft rough sets", Information Sciences, 181, pp.1125~1137 (2011)
- P. Hajek, "Metamathematices of Fuzzy Logic" (1998), Kluwer Academic Publishers
- U. HÄohle, "The Handbooks of Fuzzy Sets Series 3" (1999), Kluwer Academic Publishers
- Y.C. Kim, "Soft L-fuzzy quasi-uniformities and soft L-fuzzy topogenous orders", Submit to J. Intelligent and Fuzzy Systems
- R. Lowen, "Fuzzy uniform spaces", J. Math. Anal. Appl, 82, pp.370~385 (1981)
- D. Molodtsov, "Soft set theory", Comput. Math. Appl, 37, pp.19~31 (1999)
- Z. Pawlak, "Rough sets", Int. J. Comput. Inf. Sci, 11, pp.341~356 (1982)
- Z. Pawlak, "Rough probability", Bull. Pol. Acad. Sci. Math, 32, pp.607~615 (1984)
- A.A. Ramadan, "Perfect L-fuzzy topogenous space, L-fuzzy quasi-proximities and L-fuzzy quasi-uniform spaces", J. Intelligent and Fuzzy Systems, 28, pp.2591~2604 (2015)
- M. Shabir, "On soft topological spaces", Comput. Math. Appl, 61, pp.1786~1799 (2011)
- B. Tanay, "Topological structure of fuzzy soft sets", Comput. Math. Appl, 61(10), pp.2952~2957 (2011)
- Hu Zhao, "L-fuzzifying soft topological spaces and L-fuzzifying soft interior operators", Ann. Fuzzy Math. Inform, 5(3), pp.493~503 (2013)
- I. Zorlutuna, "Remarks on soft topological spaces", Ann. Fuzzy Math. Inform, 3(2), pp.171~185 (2012)
이 간행물의 다른 논문 (8건)
Boundedness in the nonlinear perturbed differential systems via t∞–similarity구윤회pp. 105-117COMMON FIXED POINT THEOREMS OF MEIR-KEELER TYPE ON MULTIPLICATIVE METRIC SPACESBhavana Deshpande, Sajad Ahmad Sheikhpp. 131-143Quadratic 𝞺-functional inequalities윤성식, 서정필, 이정례pp. 145-153Additive 𝞺-functional inequalities이정례, Jeong Pil Seo, Sungjin Leepp. 155-162Additive-quadratic 𝞺-functional inequalities in fuzzy Banach spaces서정필, 이성진pp. 163-179
