A linguistic lattice-valued approach for fuzzy multi-objective decision making

Xiaobing Li, Da Ruan, Jun Liu, Yang Xu

    Research output: Contribution to journalArticlepeer-review

    3 Citations (Scopus)

    Abstract

    Most of the present methods for multi-objective decision making can only deal with linearly ordered preference information. In this paper, we focus on investigating methods for multi-objective decision making when the preference information set includes incomparable natural language terms. A logical algebraic structure of lattice implication algebra is then applied to represent both comparable and incomparable information simultaneously. We present a model for multi-objective decision making in which the preference information set is a kind of linguistic-valued lattice implication algebras. And we extend the model to deal with the multi-objective decision making when the preference information set is a generalized linguistic-valued lattice. In these cases, decision makers can supply lattice information on their preference and weights of the individual objectives.

    Original languageEnglish
    Pages (from-to)233-249
    Number of pages17
    JournalJournal of Multiple-Valued Logic and Soft Computing
    Volume14
    Issue number3-5
    Publication statusPublished - 2008

    Keywords

    • Decision-making
    • Incomparable information
    • L-fuzzy set
    • Lattice implication algebra
    • Multi-objective decision making

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