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Modified Senapati and Yager’s Fermatean Fuzzy Distance and Its Application in Students’ Course Placement in Tertiary Institution

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Real Life Applications of Multiple Criteria Decision Making Techniques in Fuzzy Domain

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 420))

Abstract

Distance measure under Fermatean fuzzy domain is a soft computing technique for resolving problems of decision-making where decisions are made based on the closest proximity. Senapati and Yager initiated the study of Fermatean fuzzy distance measure and proposed a Fermatean fuzzy distance technique capturing the orthodox parameters of Fermatean fuzzy sets to guarantee reasonable output. Nonetheless, the technique lacks accuracy and yields results that contradict the axiomatic description of distance measure. Because of these limitations, this chapter modifies Senapati and Yager’s Fermatean fuzzy distance to ameliorate the setbacks and improve reliability. Some properties of the modified Senapati and Yager’s Fermatean fuzzy distance are discussed, and the distance is numerically illustrated to ascertain its merit. To demonstrate the application of the modified Senapati and Yager’s Fermatean fuzzy distance, we deploy the tool to address students’ course placement in tertiary institution. A comparative analysis of the Senapati and Yager’s Fermatean fuzzy distance and its modified counterpart is presented to justify the present work.

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Author information

Authors and Affiliations

  1. Department of Computer Science, University of Agriculture, P.M.B. 2373, Makurdi, Nigeria

    Idoko Charles Onyeke

  2. Department of Mathematics, University of Agriculture, P.M.B. 2373, Makurdi, Nigeria

    Paul Augustine Ejegwa

Authors
  1. Idoko Charles Onyeke
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  2. Paul Augustine Ejegwa
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Corresponding author

Correspondence to Paul Augustine Ejegwa .

Editor information

Editors and Affiliations

  1. Department of Computer and Information Science, Raiganj University, Raiganj, West Bengal, India

    Laxminarayan Sahoo

  2. School of Mathematics and Statistics, Southwest University, Chongqing, China

    Tapan Senapati

  3. Iona College, Machine Intelligence Institute, New Rochelle, NY, USA

    Ronald R. Yager

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Onyeke, I.C., Ejegwa, P.A. (2023). Modified Senapati and Yager’s Fermatean Fuzzy Distance and Its Application in Students’ Course Placement in Tertiary Institution. In: Sahoo, L., Senapati, T., Yager, R.R. (eds) Real Life Applications of Multiple Criteria Decision Making Techniques in Fuzzy Domain. Studies in Fuzziness and Soft Computing, vol 420. Springer, Singapore. https://doi.org/10.1007/978-981-19-4929-6_11

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