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Information systems and decision rules with imprecision and uncertainty in data analysis are studied in complete residuated lattices. In this paper, we introduce the notions of Alexandrov pretopology (precotopology) and join-meet(meet-join) operators in complete co-residuated lattices. Moreover, their properties and examples are investigated.

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Common n-tupled fixed point theorem under generalized Mizoguchi-Takahashi contraction for hybrid pair of mappings Bhavana Deshpande, Amrish Handa p. 1-17

Topological structures in complete co-residuated lattices Young-Hee Kim, Yong Chan Kim p. 19-29

(A) sum of an alternating series involving central binomial numbers and its three proofs Yue-Wu Li, Feng Qi p. 31-35

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Fractional vector cross product Mukut Mani Tripathi, Jong Ryul Kim p. 103-112

On a class of analytic function related to Schwarz lemma Bülent Nafi Örnek p. 113-124

참고문헌 (29건) : 자료제공( 네이버학술정보 )

참고문헌 목록에 대한 테이블로 번호, 참고문헌, 국회도서관 소장유무로 구성되어 있습니다.
번호 참고문헌 국회도서관 소장유무
1 R. Bělohlávek: Fuzzy Relational Systems. Kluwer Academic Publishers, New York, 2002. 미소장
2 P. Chen & D. Zhang: Alexandroffco-topological spaces. Fuzzy Sets and Systems 161(2010), 2505-2514. 미소장
3 P. Hájek: Metamathematices of Fuzzy Logic. Kluwer Academic Publishers, Dordrecht, 1998. 미소장
4 U. Höhle & E.P. Klement: Non-classical logic and their applications to fuzzy subsets. Kluwer Academic Publishers, Boston, 1995. 미소장
5 U. Höhle & S.E. Rodabaugh: Mathematics of Fuzzy Sets, Logic, Topology and Measure Theory. The Handbooks of Fuzzy Sets Series, Kluwer Academic Publishers, Dordrecht, 1999. 미소장
6 F. Jinming: I-fuzzy Alexandrov topologies and specialization orders. Fuzzy Sets and Systems 158 (2007), 2359-2374. 미소장
7 Q. Junsheng & Hu. Bao Qing: On (⊙, &) -fuzzy rough sets based on residuated and co-residuated lattices. Fuzzy Sets and Systems 336 (2018), 54-86. 미소장
8 Y.C. Kim: Join-meet preserving maps and Alexandrov fuzzy topologies. Journal of Intelligent and Fuzzy Systems 28 (2015), 457-467. 미소장
9 : Join-meet preserving maps and fuzzy preorders. Journal of Intelligent and Fuzzy Systems 28 (2015), 1089-1097. 미소장
10 : Categories of fuzzy preorders, approximation operators and Alexandrov topologies. Journal of Intelligent and Fuzzy Systems 31 (2016), 1787-1793. 미소장
11 J.M. Ko & Y.C. Kim: Preserving maps and approximation operators in complete coresiduated lattices. Journal of the korean Insitutute of Intelligent Systems. 30 (2020), 389-398. 미소장
12 : Fuzzy complete lattices, Alexandrov L-fuzzy topologies and fuzzy rough sets. Journal of Intelligent and Fuzzy Systems 38 (2020), 3253-3266. 미소장
13 H. Lai & D. Zhang: Fuzzy preorder and fuzzy topology. Fuzzy Sets and Systems 157(2006), 1865-1885. 미소장
14 Z.M. Ma & B.Q. Hu: Topological and lattice structures of L-fuzzy rough set determined by lower and upper sets. Information Sciences 218 (2013), 194-204. 미소장
15 J.S. Mi, Y. Leung, H.Y. Zhao & T. Feng: Generalized fuzzy rough sets determined by a trianglar norm. Information Sciences 178 (2008), 3203-3213. 미소장
16 J.M. Oh & Y.C. Kim: Distance functions, upper approximation operators and Alexandrov fuzzy topologies. Journal of Intelligent and Fuzzy Systems 40 (2021), no. 6, 11927-11939. 미소장
17 : Fuzzy Galois connections on L-toplogies. Journal of Intelligent and Fuzzy Systems 40 (2021), 251-270. 미소장
18 : Various fuzzy connections and fuzzy concepts in complete co-residuated lattices. International Journal of Approximate Reasoning 142 (2022), 451-468. 미소장
19 Z. Pawlak: Rough sets. Internat. J. Comput. Inform. Sci. 11 (1982), 341-356. 미소장
20 Z. Pawlak: Rough sets: Theoretical Aspects of Reasoning about Data, System Theory. Knowledge Engineering and Problem Solving, Kluwer Academic Publishers, Dordrecht, The Netherlands, 1991. 미소장
21 A.M. Radzikowska & E.E. Kerre: A comparative study of fuzy rough sets. Fuzzy Sets and Systems 126 (2012), 137-155. 미소장
22 A.M. Radzikowska & E.E. Kerre: Characterisation of main classes of fuzzy relations using fuzzy modal operators. Fuzzy Sets and Systems 152 (2005), 223-247. 미소장
23 S.E. Rodabaugh & E.P. Klement: Topological and Algebraic Structures in Fuzzy Sets. The Handbook of Recent Developments in the Mathematics of Fuzzy Sets, Kluwer Academic Publishers, Boston, Dordrecht, London, 2003. 미소장
24 Y.H. She & G.J. Wang: An axiomatic approach of fuzzy rough sets based on residuated lattices. Computers and Mathematics with Applications 58 (2009), 189-201. 미소장
25 S. P. Tiwari & A.K. Srivastava: Fuzzy rough sets, fuzzy preorders and fuzzy topologies. Fuzzy Sets and Systems 210 (2013), 63-68. 미소장
26 E. Turunen: Mathematics Behind Fuzzy Logic. A Springer-Verlag Co., 1999. 미소장
27 M. Ward & R.P. Dilworth: Residuated lattices. Trans. Amer. Math. Soc. 45 (1939), 335-354. 미소장
28 W.Z. Wu, Y. Leung & J.S. Mi: On charterizations of (Φ, T)-fuzzy approximation operators. Fuzzy Sets and Systems 154 (2005), 76-102. 미소장
29 M.C. Zheng & G.J. Wang: Coresiduated lattice with applications. Fuzzy systems and Mathematics 19 (2005), 1-6. 미소장

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