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Non-Compensatory Methods in Uncertainty Environment

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Fuzzy Decision Analysis: Multi Attribute Decision Making Approach

Part of the book series: Studies in Computational Intelligence ((SCI,volume 1121))

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Abstract

This chapter discusses non-compensatory methods with fuzzy indicator values. These methods are applicable to problems where we want to select an alternative among the available choices. The methods discussed in this chapter include fuzzy Lexicographic, fuzzy Dominance, fuzzy Max–Min, fuzzy Conjunctive Satisfying, and fuzzy Disjunctive Satisfying. In all methods, the assumption is that all indicator values are fuzzy. Non-compensatory methods have been developed using fuzzy ranking functions, and examples are provided for each method. Different ranking functions are used to solve the examples. In all examples, the results depend not only on the fuzzy values of the indicators but also on the ranking function. All non-compensatory methods are utilized in a fuzzy environment to choose one alternative from the available choices.

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Acknowledgement

A special thanks to the Iranian DEA society for their unwavering spiritual support and consensus in the writing of this book. Your invaluable support has been truly remarkable, and we are deeply grateful for the opportunity to collaborate with such esteemed professionals.

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Authors and Affiliations

  1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

    Farhad Hosseinzadeh Lotfi, Hamid Sharafi & Somayeh Razipour GhalehJough

  2. Faculty of Engineering & Natural Sciences, Istinye University, Istanbul, Turkey

    Tofigh Allahviranloo

  3. Department of Electrical and Computer Engineering, University of Alberta, Edmonton, AB, Canada

    Witold Pedrycz

  4. Department of Industrial Management, South Tehran Branch, Islamic Azad University, Tehran, Iran

    Mohammadreza Shahriari

Authors
  1. Farhad Hosseinzadeh Lotfi
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  2. Tofigh Allahviranloo
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  3. Witold Pedrycz
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  4. Mohammadreza Shahriari
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  5. Hamid Sharafi
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  6. Somayeh Razipour GhalehJough
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Corresponding author

Correspondence to Farhad Hosseinzadeh Lotfi .

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© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

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Hosseinzadeh Lotfi, F., Allahviranloo, T., Pedrycz, W., Shahriari, M., Sharafi, H., Razipour GhalehJough, S. (2023). Non-Compensatory Methods in Uncertainty Environment. In: Fuzzy Decision Analysis: Multi Attribute Decision Making Approach. Studies in Computational Intelligence, vol 1121. Springer, Cham. https://doi.org/10.1007/978-3-031-44742-6_4

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