Bi-level Optimization in an Imprecise and Random Environment (Paperback) (ISBN-13: 9786203307481)

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.

Author: Vishnu Pratap Singh, Debjani Chakraborty
ISBN-10: 6203307483
ISBN-13: 9786203307481
Publisher: LAP Lambert Academic Publishing
Language: English
Published: 02/02/2021
Pages: 84
Format: Paperback
Weight: 0.30lbs
Size: 9.00h x 6.00w x 0.20d