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Intuitionistic I-fuzzy topological spaces

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Abstract

The main purpose of this paper is to introduce the concept of intuitionistic I-fuzzy quasi-coincident neighborhood systems of intuitiostic fuzzy points. The relation between the category of intuitionistic I-fuzzy topological spaces and the category of intuitionistic I-fuzzy quasi-coincident neighborhood spaces are studied. By using fuzzifying topology, the notion of generated intuitionistic I-fuzzy topology is proposed, and the connections among generated intuitionistic I-fuzzy topological spaces, fuzzifying topological spaces and I-fuzzy topological spaces are discussed. Finally, the properties of the operators Iω, ι are obtained.

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Authors and Affiliations

  1. Institute of Mathematics, School of Math., Nanjing Normal University, Nanjing Jiangsu, 210046, P.R. China

    Cong-hua Yan & Xiao-ke Wang

Authors
  1. Cong-hua Yan
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  2. Xiao-ke Wang
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Correspondence to Cong-hua Yan.

Additional information

This project is supported by the Natural Science Foundation of China (No. 10671094) and the SRFDP (No. 20060319001).

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Yan, Ch., Wang, Xk. Intuitionistic I-fuzzy topological spaces. Czech Math J 60, 233–252 (2010). https://doi.org/10.1007/s10587-010-0013-7

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  • DOI: https://doi.org/10.1007/s10587-010-0013-7

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