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Issue:Intuitionistic proximity

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Title of paper: Intuitionistic proximity
Author(s):
S. K. Samanta
Department of Mathematics, Visva-Bharati University, Santiniketan- 731235, W.Bengal, INDIA
Tapas Kumar Mondal
Department of Mathematics, Visva-Bharati University, Santiniketan- 731235, W.Bengal, INDIA
syamal@vbharat.ernet.in
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 6 (2000) Number 3, pages 24—34
Download:  PDF (9118  Kb, File info)
Abstract: In this paper we introduce the definitions of intuitionistic stack, intuitionistic filter, intuitionistic grill, intuitionistic preproximity and intuitionistic proximity of fuzzy sets. We prove that the intuitionistic proximity of fuzzy sets is an intuitionistic clan generated structure.
Keywords: Fuzzy topology, fuzzy proximity, intuitionistic fuzzy set, intuitionistic proximity, intuitionistic filter, intuitionistic grill and intuitionistic clan.
References:
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  2. K. Atanassov and S. Stoeva, Intuitionistic fuzzy sets, Proc. of Polish Symp. on Interval and Fuzzy Mathematics, Poznan (Aug. 1983) 23-26.
  3. K. K. Azad, Fuzzy grills and a characterization of fuzzy proximity, J. Math. Anal. and Appl., 79 (1981), 13-17.
  4. H. Bustince, P. Burillo, Correlation of interval-valued intuitionistic fuzzy sets, Fuzzy Sets and Systems 74 (1995) 237-244.
  5. K. C. Chattopadhyay, U. K. Mukherjee and S. K. Samanta, Role of Clans in the Proximities of Fuzzy Sets, The Journal of Fuzzy Mathematics, 4 (1996) No-3, 683-699.
  6. K. C. Chattopadhyay, U. K. Mukherjee and S. K. Samanta, Fuzzy Proximity Structures and Fuzzy Grills, Fuzzy Sets and Systems, 79 (1996) 383-393.
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  8. A. K. Katsaras, On fuzzy proximity spaces, J. Math. Anal. and Appl. 75 (1980) 571-583.
  9. S. K. Samanta and Tapas Kumar Mondal, On intuitionistic gradation of openness, Communicated to Fuzzy Sets and Systems.
  10. P. Srivastava and R. L. Gupta, Fuzzy proximity structures and fuzzy ultrafilters, J. Math. Anal. and Appl., 94 (1983) 297-311.
  11. Tapas Kumar Mondal and S. K. Samanta, Topology of interval-valued intuitionistic fuzzy sets, to appear in Fuzzy Sets and Systems.
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