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Fuzzy Linear Programming: Solution Techniques and Applications

  • Seyed Hadi Nasseri
  • Ali Ebrahimnejad
  • Bing-Yuan Cao
Book

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 379)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Seyed Hadi Nasseri, Ali Ebrahimnejad, Bing-Yuan Cao
    Pages 1-37
  3. Seyed Hadi Nasseri, Ali Ebrahimnejad, Bing-Yuan Cao
    Pages 39-61
  4. Seyed Hadi Nasseri, Ali Ebrahimnejad, Bing-Yuan Cao
    Pages 63-114
  5. Seyed Hadi Nasseri, Ali Ebrahimnejad, Bing-Yuan Cao
    Pages 115-176
  6. Seyed Hadi Nasseri, Ali Ebrahimnejad, Bing-Yuan Cao
    Pages 177-222
  7. Seyed Hadi Nasseri, Ali Ebrahimnejad, Bing-Yuan Cao
    Pages 223-232

About this book

Introduction

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.

Keywords

Duality Fuzzy Coefficient Fuzzy Linear Programming Fuzzy Ordering Fuzzy Sets Fuzzy Simplex Fuzzy Variable

Authors and affiliations

  • Seyed Hadi Nasseri
    • 1
  • Ali Ebrahimnejad
    • 2
  • Bing-Yuan Cao
    • 3
  1. 1.Department of MathematicsUniversity of MazandaranBabolsarIran
  2. 2.Department of MathematicsQaemshahr Branch, Islamic Azad UniversityQaemshahrIran
  3. 3.Foshan UniversityFoshanChina

Bibliographic information