Fuzzy Linear Programming

Solution Techniques and Applications

Seyed Hadi Nasseri, Ali Ebrahimnejad, Bing-Yuan Cao

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English

Springer Nature Switzerland AG
14 August 2020

Fuzzy set theory; Neural networks & fuzzy systems

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.

By: Seyed Hadi Nasseri, Ali Ebrahimnejad, Bing-Yuan Cao
Imprint: Springer Nature Switzerland AG
Country of Publication: Switzerland
Edition: 2019 ed.
Dimensions: Height: 235mm, Width: 155mm,
Weight: 454g
ISBN: 9783030183943
ISBN 10: 3030183947
Pages: 232
Publication Date: 14 August 2020
Audience: College/higher education , A / AS level , Further / Higher Education
Format: Paperback
Publisher's Status: Active

Preliminaries and Backgrounds.- Fuzzy Linear Programming.- Fuzzy Number Linear Programming.- Linear Programming with Fuzzy Variables.- Semi-Fully Fuzzy Linear Programming.- Application for the Flexible Linear Programming.