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Interval-Valued Intuitionistic Fuzzy Soft Topological Spaces

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Generalized Rough Sets

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 324))

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Abstract

In this chapter, the concept of interval-valued intuitionistic fuzzy soft topological space (IVIFS topological space) together with intuitionistic fuzzy soft open sets (IVIFS open sets) and intuitionistic fuzzy soft closed sets (IVIFS closed sets) are introduced. We define neighbourhood of an IVIFS set, interior IVIFS set, interior of an IVIFS set, exterior IVIFS set, exterior of an IVIFS set, closure of a IVIFS set, IVIFS basis, and IVIFS subspace. Some examples and theorems regarding these concepts are presented.

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Authors and Affiliations

  1. Department of Mathematics, Tripura University, Agartala, Tripura, India

    Anjan Mukherjee

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  1. Anjan Mukherjee
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Correspondence to Anjan Mukherjee .

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Mukherjee, A. (2015). Interval-Valued Intuitionistic Fuzzy Soft Topological Spaces. In: Generalized Rough Sets. Studies in Fuzziness and Soft Computing, vol 324. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2458-7_5

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  • DOI: https://doi.org/10.1007/978-81-322-2458-7_5

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  • Publisher Name: Springer, New Delhi

  • Print ISBN: 978-81-322-2457-0

  • Online ISBN: 978-81-322-2458-7

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