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Correspondence between Incomplete Fuzzy Preference Relation and Its Priority Vector

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Book cover Knowledge-Based and Intelligent Information and Engineering Systems (KES 2009)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5712))

Abstract

Fuzzy preference relations are frequently adopted by decision makers to express their preference tendency toward alternatives. Due to the lack of expertise of knowledge, decision makers may not be able to specify complete preference relation. To deal with incomplete fuzzy preference relations, Xu [26] proposed prioritization methods for incomplete fuzzy preference relations where he postulated a correspondence between priority vector and additive consistent incomplete fuzzy preference relation. In this paper, we are going to prove the correspondence does not always hold.

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Author information

Authors and Affiliations

  1. Graduate School of Education, USA

    Pei-Di Shen

  2. Department of Information Management, Ming Chung University, Taipei, 111, Taiwan

    Wen-Li Chyr

  3. Department of Shipping and Transportation Management, National Taiwan Ocean University, Keelung, 202, Taiwan

    Hsuan-Shih Lee & Kuang Lin

Authors
  1. Pei-Di Shen
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  2. Wen-Li Chyr
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  3. Hsuan-Shih Lee
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  4. Kuang Lin
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Editor information

Editors and Affiliations

  1. University of Chile, Republica 701, 8370439, Santiago, Chile

    Juan D. Velásquez  & Sebastián A. Ríos  & 

  2. University of Brighton, BN2 4GJ, Brighton, UK

    Robert J. Howlett

  3. University of South Australia, 5095, Mawson Lakes, SA, Australia

    Lakhmi C. Jain

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© 2009 Springer-Verlag Berlin Heidelberg

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Shen, PD., Chyr, WL., Lee, HS., Lin, K. (2009). Correspondence between Incomplete Fuzzy Preference Relation and Its Priority Vector. In: Velásquez, J.D., Ríos, S.A., Howlett, R.J., Jain, L.C. (eds) Knowledge-Based and Intelligent Information and Engineering Systems. KES 2009. Lecture Notes in Computer Science(), vol 5712. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04592-9_92

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  • DOI: https://doi.org/10.1007/978-3-642-04592-9_92

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04591-2

  • Online ISBN: 978-3-642-04592-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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