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Three–Way Bipolar Neutrosophic Concept Lattice

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Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 369))

Abstract

Recently, three–way fuzzy concept lattice and its application have been introduced to characterize the uncertainty and incompleteness in the attribute set based on acceptation, rejection, and uncertain regions. In this process, a problem is addressed in measuring the bipolar attributes for each component of three–way decision space. To deal with this problem, the current chapter proposes a method for precise representation of bipolar information using the properties of bipolar neutrosophic sets. The proposed method also includes a way to discover some of the useful patterns in the given three–way bipolar neutrosophic context based on user required subset of attributes with its graphical visualization. The hierarchical order visualization of generated bipolar neutrosophic concepts and its interpretation are also discussed with an illustrative example.

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Acknowledgements

Author sincerely thanks the anonymous reviewer’s and editor’s for their valuable time and suggestions to improve the quality of this chapter.

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Authors and Affiliations

  1. Amity Institute of Information Technology, Amity University, Sector-125, Noida, 201313, Uttar Pradesh, India

    Prem Kumar Singh

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  1. Prem Kumar Singh
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Correspondence to Prem Kumar Singh .

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Editors and Affiliations

  1. Department of Industrial Engineering, Istanbul Technical University, Macka, Istanbul, Turkey

    Cengiz Kahraman

  2. Department of Industrial Engineering, Istanbul Okan University, Akfirat-Tuzla, Istanbul, Turkey

    İrem Otay

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Singh, P.K. (2019). Three–Way Bipolar Neutrosophic Concept Lattice. In: Kahraman, C., Otay, İ. (eds) Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Studies in Fuzziness and Soft Computing, vol 369. Springer, Cham. https://doi.org/10.1007/978-3-030-00045-5_16

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