Fuzzy Linear Programming: Solution Techniques and Applications

Description

This book presents the necessary and essential backgrounds of fuzzy set theory and linear programming, particularly a broad range of common Fuzzy Linear Programming (FLP) models and related, convenient solution techniques. These models and methods belong to three common classes of fuzzy linear programming, namely: (i) FLP problems in which all coefficients are fuzzy numbers, (ii) FLP problems in which the right-hand-side vectors and the decision variables are fuzzy numbers, and (iii) FLP problems in which the cost coefficients, the right-hand-side vectors and the decision variables are fuzzy numbers. The book essentially generalizes the well-known solution algorithms used in linear programming to the fuzzy environment. Accordingly, it can be used not only as a textbook, teaching material or reference book for undergraduate and graduate students in courses on applied mathematics, computer science, management science, industrial engineering, artificial intelligence, fuzzy information processes, and operations research, but can also serve as a reference book for researchers in these fields, especially those engaged in optimization and soft computing. For textbook purposes, it also includes simple and illustrative examples to help readers who are new to the field. Front Matter ....Pages i-xviii Preliminaries and Backgrounds (Seyed Hadi Nasseri, Ali Ebrahimnejad, Bing-Yuan Cao)....Pages 1-37 Fuzzy Linear Programming (Seyed Hadi Nasseri, Ali Ebrahimnejad, Bing-Yuan Cao)....Pages 39-61 Fuzzy Number Linear Programming (Seyed Hadi Nasseri, Ali Ebrahimnejad, Bing-Yuan Cao)....Pages 63-114 Linear Programming with Fuzzy Variables (Seyed Hadi Nasseri, Ali Ebrahimnejad, Bing-Yuan Cao)....Pages 115-176 Semi-fully Fuzzy Linear Programming (Seyed Hadi Nasseri, Ali Ebrahimnejad, Bing-Yuan Cao)....Pages 177-222 Application for the Flexible Linear Programming (Seyed Hadi Nasseri, Ali Ebrahimnejad, Bing-Yuan Cao)....Pages 223-232