Help on Fuzzy Integer Programming

[Cadbury]

so our thesis is about fuzzy integer programming and even if I am searching what it is or what does it normally solve or how can it be solved the only results appearing are thesis which are difficult to understand. can someone explain what it is or suggest sites where I can have an idea? Thank you!

 

[jvicens]

Fuzzy integer programming is a mathematical optimization technique that combines the concepts of fuzzy logic and integer programming. It is used to solve problems that involve decision making under uncertainty, where the variables can take on discrete values and have imprecise or uncertain values.

In traditional integer programming, the variables are restricted to taking on only integer values, while in fuzzy integer programming, the variables can take on fractional or fuzzy values. This allows for a more flexible and realistic representation of the problem at hand.

Fuzzy integer programming has applications in various fields, such as finance, engineering, and logistics, where there is a need to make decisions based on imprecise or uncertain information. It can be used to optimize resource allocation, production planning, and risk management, among others.

To gain a better understanding of fuzzy integer programming, you can refer to textbooks or online resources on mathematical optimization or fuzzy logic. Some helpful websites include:

1. "Fuzzy Integer Programming: An Overview" by Dr. Ali Emrouznejad: This article provides a comprehensive overview of fuzzy integer programming, including its definition, applications, and solution techniques.

2. "Fuzzy Integer Programming" by Dr. Ali Emrouznejad: This lecture notes from the University of Southampton provides a detailed explanation of the theory and methods of fuzzy integer programming.

3. "Introduction to Fuzzy Integer Programming" by Dr. Hani Hagras: This video lecture introduces the basic concepts of fuzzy integer programming and its applications.

4. "Fuzzy Integer Programming" by Dr. A.M. El-Kadi and Dr. K.M. El-Sayed: This paper presents a review of the literature on fuzzy integer programming, including its history, applications, and solution approaches.

Additionally, you can also consult with experts in the field or attend conferences and workshops related to fuzzy integer programming to gain a better understanding of the topic.