Some analytical properties of expected values of fuzzy variables with parameters

Shuming Wang; Junzo Watada

doi:10.1109/ICICIC.2008.504

Some analytical properties of expected values of fuzzy variables with parameters

Shuming Wang^*, Junzo Watada

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
Title of host publication	3rd International Conference on Innovative Computing Information and Control, ICICIC'08
DOIs	https://doi.org/10.1109/ICICIC.2008.504
Publication status	Published - 2008
Event	3rd International Conference on Innovative Computing Information and Control, ICICIC'08 - Dalian, Liaoning Duration: 2008 Jun 18 → 2008 Jun 20

Other

Other	3rd International Conference on Innovative Computing Information and Control, ICICIC'08
City	Dalian, Liaoning
Period	08/6/18 → 08/6/20

ASJC Scopus subject areas

Computer Science Applications
Software
Control and Systems Engineering

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10.1109/ICICIC.2008.504

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title = "Some analytical properties of expected values of fuzzy variables with parameters",

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.",

author = "Shuming Wang and Junzo Watada",

year = "2008",

doi = "10.1109/ICICIC.2008.504",

language = "English",

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AU - Watada, Junzo

PY - 2008

Y1 - 2008

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AB - 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.

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T2 - 3rd International Conference on Innovative Computing Information and Control, ICICIC'08

Y2 - 18 June 2008 through 20 June 2008

ER -

Some analytical properties of expected values of fuzzy variables with parameters

Abstract

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