Redefining chance-constrained programming in fuzzy environment

Authors:
Debjani Chakraborty
Affiliations:
Vinod Gupta School of Management, Indian Institute of Technology, Kharagpur, India
Venue:
Fuzzy Sets and Systems - Theme: Decision and optimization
Year:
2002

Citing 1
Cited 4

Fuzzy subsets of the space of probability measures and expected value of fuzzy variable

Fuzzy Sets and Systems

A two-stage programming approach for water resources management under randomness and fuzziness

Environmental Modelling & Software
Estimating most productive scale size with imprecise-chance constrained input-output orientation model in data envelopment analysis

Computers and Industrial Engineering
A single-period inventory model with fuzzy random variable demand

Mathematical and Computer Modelling: An International Journal
Using Fuzzy Goal Programming Technique to Solve Multiobjective Chance Constrained Programming Problems in a Fuzzy Environment

International Journal of Fuzzy System Applications

Quantified Score

Hi-index	0.00

Visualization

Abstract

This paper presents an alternative definition of probability of fuzzy event. In analogy to probability of nonfuzzy event we view probability of fuzzy event in terms of cumulative distribution of a random variable. A multi-objective imprecise-chance constrained programming problem has been defined here which is an extension of classical chance-constrained programming problem in fuzzy environment. An illustrative numerical example is given.