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Multi-criteria semantic dominance: A linguistic decision aiding technique based on incomplete preference information

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  • Yang, Wu-E
  • Wang, Jian-Qiang

Abstract

A linguistic decision aiding technique for multi-criteria decision is presented. We define a relation between alternatives as multi-criteria semantic dominance (MCSD). It adopts the similar ideal of the stochastic dominance by utilizing the partial information of the decision maker’s preference, which is only ordinal or partially cardinal. The MCSD rules based on three typical types of semanteme functions are introduced and proven. By using these rules, all the alternatives under consideration are divided into two mutually exclusive sets called efficient set and inefficient set. The decision maker who has such a semanteme function will never choose the alternative from the corresponding inefficient set as the optimal one. In such a way, when we analyze the linguistic decision information, the inherent fuzziness of preference can be handled and several controversial operations of the linguistic terms can be avoided. An example is also provided to illustrate the procedure of the proposed method.

Suggested Citation

  • Yang, Wu-E & Wang, Jian-Qiang, 2013. "Multi-criteria semantic dominance: A linguistic decision aiding technique based on incomplete preference information," European Journal of Operational Research, Elsevier, vol. 231(1), pages 171-181.
    • Handle: RePEc:eee:ejores:v:231:y:2013:i:1:p:171-181
    DOI: 10.1016/j.ejor.2013.05.005
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    Cited by:

    1. de Almeida, Jonatas Araujo & Costa, Ana Paula Cabral Seixas & de Almeida-Filho, Adiel Teixeira, 2016. "A new method for elicitation of criteria weights in additive models: Flexible and interactive tradeoffAuthor-Name: de Almeida, Adiel Teixeira," European Journal of Operational Research, Elsevier, vol. 250(1), pages 179-191.
    2. Wu-E Yang & Chao-Qun Ma & Zhi-Qiu Han, 2017. "Linguistic multi-criteria decision-making with representing semantics by programming," International Journal of Systems Science, Taylor & Francis Journals, vol. 48(2), pages 225-235, January.
    3. Merigó, José M. & Palacios-Marqués, Daniel & Zeng, Shouzhen, 2016. "Subjective and objective information in linguistic multi-criteria group decision making," European Journal of Operational Research, Elsevier, vol. 248(2), pages 522-531.
    4. Wu-E Yang & Chao-Qun Ma & Zhi-Qiu Han & Wen-Jun Chen, 2016. "Checking and adjusting order-consistency of linguistic pairwise comparison matrices for getting transitive preference relations," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 38(3), pages 769-787, July.
    5. Amir Hosein Mahmoodi & Seyed Jafar Sadjadi & Soheil Sadi-Nezhad & Roya Soltani & Farzad Movahedi Sobhani, 2020. "Linguistic Z-number weighted averaging operators and their application to portfolio selection problem," PLOS ONE, Public Library of Science, vol. 15(1), pages 1-34, January.

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