The structure of linguistic truth-valued lattice implication algebra

Zhiyan Chang, Yang Xu, Jun Liu, Jiajun Lai

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    Abstract

    A lattice-valued logical algebra -lattice implication algebra (LIA) and its corresponding logic and reasoning systems have been extensively investigated in the last few years. There have been also some research works with an attempt to establish the linguistic truth valued logical algebra for decision making purpose, including the linguistic truth valued logical algebra based on LIA. In this paper, in order to characterize the feature of linguistic truth-valued algebra based on LIA, firstly the product-irreducible and sum-irreducible elements of LIA are introduced and their properties are discussed,. Then some decomposition theorems in linguistic truth-valued LIA are given, these results will place a support for the further investigation of linguistic truth-valued algebra structure and modeling.

    Original languageEnglish
    Title of host publicationWorld Scientific Proceedings Series on Computer Engineering and Information Science 1; Computational Intelligence in Decision and Control - Proceedings of the 8th International FLINS Conference
    PublisherWorld Scientific Publishing Co. Pte Ltd
    Pages271-276
    Number of pages6
    ISBN (Print)981279946X, 9789812799463
    DOIs
    Publication statusPublished - 2008
    EventComputational Intelligence in Decision and Control - 8th International FLINS Conference - Madrid, Spain
    Duration: 21 Sep 200824 Sep 2008

    Publication series

    NameWorld Scientific Proceedings Series on Computer Engineering and Information Science 1; Computational Intelligence in Decision and Control - Proceedings of the 8th International FLINS Conference

    Conference

    ConferenceComputational Intelligence in Decision and Control - 8th International FLINS Conference
    CountrySpain
    CityMadrid
    Period21/09/0824/09/08

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