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Advanced Computing and Intelligent Technologies pp 55–65Cite as

Novel Score Function and Accuracy Function for Spherical Linguistic Fuzzy Numbers and Their Application in Multi-criteria Decision-Making Problems

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Part of the Lecture Notes in Electrical Engineering book series (LNEE,volume 914)

Abstract

A spherical linguistic fuzzy set is the addition of linguistic variables and a spherical fuzzy set. It includes both qualitative and quantitative estimates which can more effectively depict decision-maker’s actual choices and uncertainty. In this paper, we have mentioned the limitation of the existing score and accuracy function for spherical linguistic fuzzy numbers and proposed an improved score function and accuracy function using linguistic scale function to compare spherical linguistic fuzzy numbers. We have also proposed a spherical linguistic fuzzy weighted aggregation operator \((\check{\text{S}}\text{LFWA})\) and a spherical linguistic fuzzy ordered weighted aggregation operator \((\check{\text{S}}\rm{LFOWA})\). The proposed score, accuracy functions, and aggregation operator are applied in a numerical application.

Keywords

  • Spherical linguistic fuzzy set
  • Score function
  • Accuracy function
  • Spherical linguistic fuzzy weighted aggregation operator
  • Spherical linguistic fuzzy ordered weighted aggregation operator

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Authors and Affiliations

  1. Department of Mathematics, Statistics and Computer Science G. B. Pant, University of Agriculture and Technology, Pantnagar, Uttarakhand, 263145, India

    Laxmi Rajput & Sanjay Kumar

Authors
  1. Laxmi Rajput
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  2. Sanjay Kumar
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Correspondence to Laxmi Rajput .

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Editors and Affiliations

  1. Bharath Institute of Higher Education and Research, Chennai, Tamil Nadu, India

    Rabindra Nath Shaw

  2. Regional Campus Manipur, Indira Gandhi National Tribal University, Imphal, Manipur, India

    Sanjoy Das

  3. Department of Computer Science, University of Milan, Milan, Italy

    Vincenzo Piuri

  4. Department of Information Engineering and Mathematics, University of Siena, Siena, Italy

    Monica Bianchini

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Rajput, L., Kumar, S. (2022). Novel Score Function and Accuracy Function for Spherical Linguistic Fuzzy Numbers and Their Application in Multi-criteria Decision-Making Problems. In: Shaw, R.N., Das, S., Piuri, V., Bianchini, M. (eds) Advanced Computing and Intelligent Technologies. Lecture Notes in Electrical Engineering, vol 914. Springer, Singapore. https://doi.org/10.1007/978-981-19-2980-9_5

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  • DOI: https://doi.org/10.1007/978-981-19-2980-9_5

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