Some analytical properties of expected values of fuzzy variables with parameters

Shuming Wang, Junzo Watada

    Research output: Chapter in Book/Report/Conference proceedingConference contribution

    Abstract

    In many fuzzy programming problems, the objectives and constraints may consist of some expected values of prescribed fuzzy variables. Therefore, analyzing the properties of those expected values is helpful to solving the problems. The objective of this paper is to deal with some analytical properties of expected values of fuzzy variables with parameters. First, some continuity theorems are derived for the properties of continuity and semicontinuity of the expected values. Then, A differentiation formula of the expected value with respect to the parameter is established. The results obtained in this paper are useful in fuzzy programming models.

    Original languageEnglish
    Title of host publication3rd International Conference on Innovative Computing Information and Control, ICICIC'08
    DOIs
    Publication statusPublished - 2008
    Event3rd International Conference on Innovative Computing Information and Control, ICICIC'08 - Dalian, Liaoning
    Duration: 2008 Jun 182008 Jun 20

    Other

    Other3rd International Conference on Innovative Computing Information and Control, ICICIC'08
    CityDalian, Liaoning
    Period08/6/1808/6/20

    ASJC Scopus subject areas

    • Computer Science Applications
    • Software
    • Control and Systems Engineering

    Cite this

    Wang, S., & Watada, J. (2008). Some analytical properties of expected values of fuzzy variables with parameters. In 3rd International Conference on Innovative Computing Information and Control, ICICIC'08 [4603341] https://doi.org/10.1109/ICICIC.2008.504