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  • © 2019

Fuzzy Geometric Programming Techniques and Applications

  • Demonstrates a unique type of nonlinear optimization technique in the crisp and fuzzy environment
  • Presents a detailed overview of the modified geometric programming problem
  • Discusses fuzzy multi-objective geometric programming techniques
  • Includes several numerical examples and solutions of nonlinear optimization problems

Part of the book series: Forum for Interdisciplinary Mathematics (FFIM)

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Table of contents (13 chapters)

  1. Front Matter

    Pages i-xxi
  2. Preliminary Concepts of Geometric Programming (GP) Model

    • Sahidul Islam, Wasim Akram Mandal
    Pages 1-25
  3. Signomial Geometric Programming (GP) Problem

    • Sahidul Islam, Wasim Akram Mandal
    Pages 27-45
  4. Introduction to Fuzzy Set Theory

    • Sahidul Islam, Wasim Akram Mandal
    Pages 47-73
  5. Fuzzy Numbers and Fuzzy Optimization

    • Sahidul Islam, Wasim Akram Mandal
    Pages 75-131
  6. Fuzzy Unconstrained Geometric Programming Problem

    • Sahidul Islam, Wasim Akram Mandal
    Pages 133-153
  7. Fuzzy Unconstrained Modified Geometric Programming Problem

    • Sahidul Islam, Wasim Akram Mandal
    Pages 155-174
  8. Fuzzy Constrained Geometric Programming Problem

    • Sahidul Islam, Wasim Akram Mandal
    Pages 175-189
  9. Constrained Fuzzy Modified Geometric Programming Problem

    • Sahidul Islam, Wasim Akram Mandal
    Pages 191-207
  10. Fuzzy Signomial Geometric Programming Problem

    • Sahidul Islam, Wasim Akram Mandal
    Pages 209-231
  11. Goal Geometric Programming

    • Sahidul Islam, Wasim Akram Mandal
    Pages 233-258
  12. Fuzzy Multi-objective Geometric Programming (FMOGP) Problem

    • Sahidul Islam, Wasim Akram Mandal
    Pages 259-286
  13. Geometric Programming Problem Under Uncertainty

    • Sahidul Islam, Wasim Akram Mandal
    Pages 287-330
  14. Intuitionistic and Neutrosophic Geometric Programming Problem

    • Sahidul Islam, Wasim Akram Mandal
    Pages 331-355
  15. Back Matter

    Pages 357-359

About this book

This book develops the concepts of various unique optimization techniques in the crisp and fuzzy environment. It provides an extensive overview of geometric programming methods within a unifying framework, and presents an in-depth discussion of the modified geometric programming problem, fuzzy geometric programming, as well as new insights into goal geometric programming. With numerous examples and exercises together with detailed solutions for several problems, the book also addresses fuzzy multi-objective geometric programming techniques. Geometric programming, which falls into the general class of signomial problems, has applications across disciplines, from engineering to economics, and is extremely useful in applications of a variety of optimization problems. Organized into thirteen chapters, this book is a valuable resource for graduate and advanced undergraduate students and researchers in applied mathematics and engineering.

Authors and Affiliations

  • Department of Mathematics, University of Kalyani, Kalyani, Nadia, India

    Sahidul Islam

  • Beldanga D.H. Senior Madrasah, Beldanga, Murshidabad, India

    Wasim Akram Mandal

About the authors

SAHIDUL ISLAM is an assistant professor at the Department of Mathematics, University of Kalyani, India. He earned his PhD from the Indian Institute of Engineering Science and Technology, Shibpur, India. Dr Islam received the Junior Research Fellowship and Senior Research Fellowship from the Council of Scientific and Industrial Research (CSIR), India, in 2003 and 2005, respectively. He has published two books and over 52 papers in various reputed journals. His main research interests are information theory, fuzzy optimizations, operations research and optimization techniques. 

WASIM AKRAM MANDAL is an assistant teacher of mathematics at the Beldanga D.H. Senior Madrasah, Murshidabad, India. He obtained his PhD degree on the topic “Some inventory model approaches to decision making in fuzzy environment” and MSc degree in applied mathematics from the University of Kalyani, India. He has published three books and over 15 research articles in several respected journals. His research interests are fuzzy optimizations and operations research.   .


Bibliographic Information

Buy it now

Buying options

eBook USD 29.99 USD 54.99
45% discount Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 39.99 USD 69.99
43% discount Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access