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portada Bi-level Optimization in an Imprecise and Random Environment
Type
Physical Book
Author
Publisher
Language
English
Pages
84
Format
Paperback
Dimensions
22.9 x 15.2 x 0.5 cm
Weight
0.14 kg.
ISBN13
9786203307481
Categories

Bi-level Optimization in an Imprecise and Random Environment

Debjani Chakraborty (Author) · Vishnu Pratap Singh (Author) · LAP Lambert Academic Publishing · Paperback

Bi-level Optimization in an Imprecise and Random Environment - Singh, Vishnu Pratap ; Chakraborty, Debjani

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Synopsis "Bi-level Optimization in an Imprecise and Random Environment"

In classical bi-level programming problems, coefficients of objective functions of the leader and the follower are crisp. But in real-life situations, uncertainties arise in almost every aspect. Thus, to include more realistic cases in classical bi-level programming problems, a fuzzy stochastic bi-level programming model has been developed using fuzzy random variable coefficients. A fuzzy random variable is a mathematical tool to deal with a sort of hybrid uncertainty. The novelty of the fuzzy random variable is that it contains the structure of twofold distribution which can carry a joint oneness of the simultaneous random and imprecise information which goes beyond the contrast of information contained in a random variable in probability theory and fuzzy variable in fuzzy set theory. Though the book deals to solve bi-level optimization models in the fuzzy or fuzzy random environment through a multi-stage decision-making approach. The main contribution of this book is twofold. It introduced the fuzzy stochastic and fuzzy rule-base bi-level optimization model to overcome the uncertainties present due to impreciseness and randomness.

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