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Intuitionistic and interval-valued intutionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group

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An Erratum to this article was published on 07 June 2012

Abstract

Szmidt and Kacprzyk (Lecture Notes in Artificial Intelligence 3070:388–393, 2004a) introduced a similarity measure, which takes into account not only a pure distance between intuitionistic fuzzy sets but also examines if the compared values are more similar or more dissimilar to each other. By analyzing this similarity measure, we find it somewhat inconvenient in some cases, and thus we develop a new similarity measure between intuitionistic fuzzy sets. Then we apply the developed similarity measure for consensus analysis in group decision making based on intuitionistic fuzzy preference relations, and finally further extend it to the interval-valued intuitionistic fuzzy set theory.

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Authors and Affiliations

  1. School of Economics and Management, Southeast University, 210096, Nanjing, Jiangsu, China

    Zeshui Xu

  2. Machine Intelligence Institute, Iona College, New Rochelle, NY, 10801, USA

    Ronald R. Yager

Authors
  1. Zeshui Xu
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  2. Ronald R. Yager
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Corresponding author

Correspondence to Ronald R. Yager.

Additional information

An erratum to this article can be found at http://dx.doi.org/10.1007/s10700-012-9135-8

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Xu, Z., Yager, R.R. Intuitionistic and interval-valued intutionistic fuzzy preference relations and their measures of similarity for the evaluation of agreement within a group. Fuzzy Optim Decis Making 8, 123–139 (2009). https://doi.org/10.1007/s10700-009-9056-3

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  • DOI: https://doi.org/10.1007/s10700-009-9056-3

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