On bipolar fuzzy rough continuous functions
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DOI:
https://doi.org/10.26637/MJM0801/0022Abstract
The concept of bipolar fuzzy sets is an extension of fuzzy sets. Our aim is to define bipolar fuzzy rough topology by means of the lower and upper approximations on bipolar fuzzy sets, bipolar fuzzy rough image, bipolar fuzzy rough inverse image, bipolar fuzzy rough subspace and bipolar fuzzy rough continuous functions between these topologies. We construct some functions which are bipolar fuzzy rough continuous and further prove pasting lemma for bipolar fuzzy rough continuous mappings.
Keywords:
Bipolar fuzzy rough image, bipolar fuzzy rough inverse image, bipolar fuzzy rough subspace, bipolar fuzzy rough continuous function.Mathematics Subject Classification:
Mathematics- Pages: 129-134
- Date Published: 01-01-2020
- Vol. 8 No. 01 (2020): Malaya Journal of Matematik (MJM)
S. Anita Shanthi and M. Saranya, On Bipolar fuzzy rough connected spaces, AIP Conference Proceedings,2177(2019), 020-002 .
S. Anita Shanthi, N. Thillaigovindan and R.Poovizhi, On Fuzzy Rough Continuous Functions, The Journal of Fuzzy Mathematics, 25(3)(2017), 1-18.
BobyP.Mathew and Sunil Jacob John, On rough topological spaces, International Journal of Mathematical Archive, 3(9)(2012), 3413-3421.
D.Dubois, H.Prade, Putting fuzzy sets and rough sets together, Intelligent Decision Support, Kluwer Academic, Dordrecht, (1992), 203-232.
D.Dubois, H.Prade, Rough fuzzy set and fuzzy rough set, International Journal of General Systems, 17(1990), 191-209.
George J. Klir, Tina A. Folger, Fuzzy sets: Uncertainty and Information, Prentice Hall of India, 2005.
Keyun Qin and Zheng Pei, On the topological properties of fuzzy rough sets, Fuzzy sets and Systems, 151, (2005), 601-613.
M.LellisThivagar, Carmel Richard and Nirmala Rebecca Paul, Mathematical Innovations of a Modern Topology in Medical Events, International Journal of Information Science, 2(4), (2012), 33-36.
R.Muthuraj, M.Sridharan, Some properties of Bipolar fuzzy cosets of a bipolar fuzzy and Bipolar anti fuzzy HX subgroup, IOSR Journal of Mathematics, 9(6) , (2014), 128-137.
S.Nanda, Fuzzy rough sets, Fuzzy sets and systems, 45,(1992), 157-160.
Z.Pawlak, Rough sets, International journal of Computer and Information Science, 11, (1982), 341-356.
Z.Pawlak, Rough sets, Theoretical Aspects of Reasoning About Data, Kluwer Academic Publishers, Boston, (1991).
W.R.Zhang, Bipolar Fuzzy sets, Proceeding of FUZZIEEE, (1998), 835-840.
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