Intuitionistic Fuzzy Logic (IFL) Toolbox

Module 1: i - fuzzifier Gallery. Module 2: i - defuzzifier Gallery

The Intuitionistic Fuzzy Logic Toolbox is a comprehensive collection of functions and tools designed to facilitate the implementation and analysis of intuitionistic fuzzy logic systems in MATLAB. Intuitionistic fuzzy logic extends classical fuzzy logic by introducing additional parameters like non-membership and indeterminacy functions to model uncertainty and hesitancy more effectively. This toolbox includes functions for defining intuitionistic fuzzy sets, performing operations on intuitionistic fuzzy numbers, and implementing intuitionistic fuzzy inference systems. It provides a user-friendly interface for creating, manipulating, and visualizing intuitionistic fuzzy sets and rules, making it a valuable resource for researchers, educators, and practitioners interested in exploring the capabilities of intuitionistic fuzzy logic.

The toolbox currently consists of the following modules:

• Module 1: i-fuzzifier Gallery. This module defines the process of intuitionistic fuzzification, the first step of an Intuitionistic Fuzzy Logic Controller (IFLC). There are eight standard intuitionistic fuzzification functions provided to define the membership and non-membership functions for various use cases.
• Module 2: i-defuzzifiers Gallery. Newly added, this module focuses on defuzzification, transforming intuitionistic fuzzy sets—characterized by membership, non-membership, and hesitation degrees—into precise (crisp) values. Defuzzification is critical for decision-making systems, and this module includes various standard intuitionistic defuzzification functions to enhance accuracy and usability.

Future contributions to the toolbox will include the following modules:

• Module 3: Contrast Intensification of Images
• Module 4: Dilation and Concentration of Images
• Module 5: RGB Image Representation
• Module 6: Video Processing
• Module 7: Shortest Path in Networks