Fuzzy Implications

• Main Authors: Baczyński, Michał (Author), Jayaram, Balasubramaniam (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Studies in Fuzziness and Soft Computing, 231
• Subjects: Engineering.; Artificial intelligence.; Algebra.; Operator theory.; Applied mathematics.; Engineering mathematics.; Appl.Mathematics/Computational Methods of Engineering.; Artificial Intelligence (incl. Robotics).; Applications of Mathematics.; Operator Theory.

Fuzzy Implications (FIs) generalize the classical implication and play a similar important role in Fuzzy Logic (FL), both in FL_n and FL_w in the sense of Zadeh. Their importance in applications of FL, viz., Approximate Reasoning (AR), Decision Support Systems, Fuzzy Control (FC), etc., is hard to e...

Table of Contents:

• An Introduction to Fuzzy Implications
• An Introduction to Fuzzy Implications
• I: Analytical Study of Fuzzy Implications
• Fuzzy Implications from Fuzzy Logic Operations
• Fuzzy Implications from Generator Functions
• Intersections between Families of Fuzzy Implications
• Fuzzy Implications from Uninorms
• II: Algebraic Study of Fuzzy Implications
• Algebraic Structures of Fuzzy Implications
• Fuzzy Implications and Some Functional Equations
• III: Applicational Study of Fuzzy Implications
• Fuzzy Implications in Approximate Reasoning.