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An Intuitionistic Fuzzy Metric and its Application in Varied Decision Making Approaches.

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Title: An Intuitionistic Fuzzy Metric and its Application in Varied Decision Making Approaches.
Authors: Kumar, N.1 (AUTHOR) naveen_rs@math.nits.ac.in, Mandal, R. K.1 (AUTHOR) rohit_pg_22@math.nits.ac.in, Sarkar, A.2 (AUTHOR) arun@herambachandracollege.ac.in, Mahanta, J.1 (AUTHOR) juthika@math.nits.ac.in
Source: International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems. Nov2025, Vol. 33 Issue 8, p1029-1055. 27p.
Subjects: Decision making, Multiple criteria decision making, Fuzzy sets, Fuzzy measure theory, Visualization, Diagnosis, Pattern perception
Abstract: Distance measures for Intuitionistic Fuzzy Sets (IFSs) have been extensively studied from a theoretical perspective and successfully applied in various fields, such as pattern recognition, medical diagnosis, and multi-criteria decision-making. However, the literature highlights several shortcomings in these intuitionistic fuzzy distance measures. This paper proposes a novel distance measure for IFSs to address these limitations and fill the identified gaps. The proposed measure is tested through numerical examples to ensure its robustness and reliability. Furthermore, its metric properties are validated using geometric visualization. To demonstrate its practical utility, the measure is applied to problems in pattern classification, medical diagnosis, and multi-criteria group decision-making (MCGDM). A case study related to MCGDM is presented to illustrate the applicability of the proposed method and to compare it with alternative approaches, thus validating its effectiveness. [ABSTRACT FROM AUTHOR]
Copyright of International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
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AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: An Intuitionistic Fuzzy Metric and its Application in Varied Decision Making Approaches.
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  Data: <searchLink fieldCode="AR" term="%22Kumar%2C+N%2E%22">Kumar, N.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> naveen_rs@math.nits.ac.in</i><br /><searchLink fieldCode="AR" term="%22Mandal%2C+R%2E K%2E%22">Mandal, R. K.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> rohit_pg_22@math.nits.ac.in</i><br /><searchLink fieldCode="AR" term="%22Sarkar%2C+A%2E%22">Sarkar, A.</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> arun@herambachandracollege.ac.in</i><br /><searchLink fieldCode="AR" term="%22Mahanta%2C+J%2E%22">Mahanta, J.</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> juthika@math.nits.ac.in</i>
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  Data: <searchLink fieldCode="JN" term="%22International+Journal+of+Uncertainty%2C+Fuzziness+%26+Knowledge-Based+Systems%22">International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems</searchLink>. Nov2025, Vol. 33 Issue 8, p1029-1055. 27p.
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  Data: <searchLink fieldCode="DE" term="%22Decision+making%22">Decision making</searchLink><br /><searchLink fieldCode="DE" term="%22Multiple+criteria+decision+making%22">Multiple criteria decision making</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+sets%22">Fuzzy sets</searchLink><br /><searchLink fieldCode="DE" term="%22Fuzzy+measure+theory%22">Fuzzy measure theory</searchLink><br /><searchLink fieldCode="DE" term="%22Visualization%22">Visualization</searchLink><br /><searchLink fieldCode="DE" term="%22Diagnosis%22">Diagnosis</searchLink><br /><searchLink fieldCode="DE" term="%22Pattern+perception%22">Pattern perception</searchLink>
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  Data: Distance measures for Intuitionistic Fuzzy Sets (IFSs) have been extensively studied from a theoretical perspective and successfully applied in various fields, such as pattern recognition, medical diagnosis, and multi-criteria decision-making. However, the literature highlights several shortcomings in these intuitionistic fuzzy distance measures. This paper proposes a novel distance measure for IFSs to address these limitations and fill the identified gaps. The proposed measure is tested through numerical examples to ensure its robustness and reliability. Furthermore, its metric properties are validated using geometric visualization. To demonstrate its practical utility, the measure is applied to problems in pattern classification, medical diagnosis, and multi-criteria group decision-making (MCGDM). A case study related to MCGDM is presented to illustrate the applicability of the proposed method and to compare it with alternative approaches, thus validating its effectiveness. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
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  Data: <i>Copyright of International Journal of Uncertainty, Fuzziness & Knowledge-Based Systems is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1142/S021848852550031X
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      – Code: eng
        Text: English
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        PageCount: 27
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    Subjects:
      – SubjectFull: Decision making
        Type: general
      – SubjectFull: Multiple criteria decision making
        Type: general
      – SubjectFull: Fuzzy sets
        Type: general
      – SubjectFull: Fuzzy measure theory
        Type: general
      – SubjectFull: Visualization
        Type: general
      – SubjectFull: Diagnosis
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      – SubjectFull: Pattern perception
        Type: general
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      – TitleFull: An Intuitionistic Fuzzy Metric and its Application in Varied Decision Making Approaches.
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            NameFull: Kumar, N.
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            NameFull: Mandal, R. K.
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              M: 11
              Text: Nov2025
              Type: published
              Y: 2025
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