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An Interval Linguistic Distribution Model for Multiple Attribute Decision Making Problems with Incomplete Linguistic Information

Author

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  • Wen-Tao Guo

    (School of Knowledge Science, Japan Advanced Institute of Science and Technology (JAIST), Nomi, Japan)

  • Van-Nam Huynh

    (School of Knowledge Science, Japan Advanced Institute of Science and Technology (JAIST), Nomi, Japan)

  • Yoshiteru Nakamori

    (School of Knowledge Science, Japan Advanced Institute of Science and Technology (JAIST), Nomi, Japan)

Abstract

In this paper, the authors propose an interval linguistic distribution model for multiple attribute decision making (MADM) problems with incomplete linguistic information, in which they use intervals as evaluators' confidence levels indicating their belief degrees that a linguistic term fits an evaluation. By introducing the extent of ignoring information into this model, it can deal with incomplete linguistic assessments and then allow evaluators to avoid the dilemma that they have to supply complete assessments when not available. In addition, the uncertain subjective judgments on attributes of alternatives are represented as distributions on the linguistic term set used as an instrument for assessment in this model. This feature can be regarded as a measure for evaluators to handle uncertain information. The aggregation operators and expected utilities are also introduced for the purpose of aggregation and ranking problems of interval linguistic distributions. Finally, an example is used to illuminate the proposed model.

Suggested Citation

  • Wen-Tao Guo & Van-Nam Huynh & Yoshiteru Nakamori, 2015. "An Interval Linguistic Distribution Model for Multiple Attribute Decision Making Problems with Incomplete Linguistic Information," International Journal of Knowledge and Systems Science (IJKSS), IGI Global, vol. 6(4), pages 16-34, October.
    • Handle: RePEc:igg:jkss00:v:6:y:2015:i:4:p:16-34
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    Cited by:

    1. Christophe Feltus & Damien Nicolas & Djamel Khadraoui, 2023. "Towards a Multidimensional Ontology Model for DIH-Based Organisations," International Journal of Knowledge and Systems Science (IJKSS), IGI Global, vol. 14(1), pages 1-19, January.
    2. Cong-Cong Li & Yuan Gao & Yucheng Dong, 2023. "Managing Missing Preference Values Through Consistency and Consensus in Distributed Linguistic Preference Relations: A Two-stage Method Based on Personalized Individual Semantics," Group Decision and Negotiation, Springer, vol. 32(1), pages 125-146, February.
    3. Cong-Cong Li & Yuan Gao & Yucheng Dong, 2021. "Managing Ignorance Elements and Personalized Individual Semantics Under Incomplete Linguistic Distribution Context in Group Decision Making," Group Decision and Negotiation, Springer, vol. 30(1), pages 97-118, February.

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