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Intuitionistic Fuzzy 9 Intersection Matrix for Obtaining the Relationship Between Indeterminate Objects

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Intelligent System Design

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 494))

Abstract

This paper defines intuitionistic fuzzy core (IFC), intuitionistic fuzzy fringe (IFF), and intuitionistic fuzzy outer (IFO) of an intuitionistic fuzzy set (IFS) in an intuitionistic fuzzy topology space (IFTS). It has been shown that the IFC, IFF, and IFO of an IFS are mutually disjoint. Further, intuitionistic fuzzy 9 intersection matrix (IF9IM) is defined, which can determine the topological relation between any two IFS. The IF9IM is an upgradation of fuzzy 9 intersection matrix. The IFS being capable of handling any hesitancy or indeterminacy, the IF9IM determines relationship between two uncertain objects having any indeterminacy.

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Author information

Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology Silchar, Silchar, Assam, 788010, India

    Subhankar Jana & Juthika Mahanta

Authors
  1. Subhankar Jana
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  2. Juthika Mahanta
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Corresponding author

Correspondence to Subhankar Jana .

Editor information

Editors and Affiliations

  1. Dr. A.P.J. Abdul Kalam Technical University, Department of Electronics and Communication Engineering, Shri Ramswaroop Memorial College of Engineering and Management (SRMCEM), Lucknow, Uttar Pradesh, India

    Vikrant Bhateja

  2. Principal, BVRIT Hyd. College of Engineering for Women, Hyderabad, Telangana, India

    K. V. N. Sunitha

  3. College of Information Science and Eng, Ritsumeikan University, Kusuatsu, Shiga, Japan

    Yen-Wei Chen

  4. Department of Informatics, University of Leicester, Leicester, UK

    Yu-Dong Zhang

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© 2023 The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

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Jana, S., Mahanta, J. (2023). Intuitionistic Fuzzy 9 Intersection Matrix for Obtaining the Relationship Between Indeterminate Objects. In: Bhateja, V., Sunitha, K.V.N., Chen, YW., Zhang, YD. (eds) Intelligent System Design. Lecture Notes in Networks and Systems, vol 494. Springer, Singapore. https://doi.org/10.1007/978-981-19-4863-3_16

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