Fuzzy relational calculus theory, applications and software
Ch. 1. Introduction. 1.1. Basic concepts. 1.2. Images and compositions. 1.3. Basic problems in fuzzy relational calculus. 1.4. Aspects in artificial intelligence. 1.5. Fuzzy finite machines and fuzzy algebras. 1.6. Fuzzy grammars in syntactic pattern recognition. 1.7. Bibliographical notes -- ch. 2. Fuzzy relations. Direct problem resolution. 2.1. Basic notions. 2.2. Fuzzy relations - compositions and properties. 2.3. Fuzzy relations and membership matrices. 2.4. Bibliographical notes -- ch. 3. Fuzzy relational equations. 3.1. Inverse problem formulation. 3.2. Fuzzy linear equations. 3.3. Fuzzy linear systems of equations. 3.4. Solving fuzzy relational equations. 3.5. Bibliographical notes -- ch. 4. Fuzzy relational inclusions. 4.1. Preliminaries. 4.2. Fuzzy linear systems of inequalities. 4.3. Fuzzy relational inclusions. 4.4. Applications in fuzzy linear programming. 4.5. Bibliographical notes -- ch. 5. Fuzzy linear systems - dual approach. 5.1. Basic concepts. 5.2. Solving fuzzy linear systems. 5.3. Fuzzy relational equations. 5.4. Dual approach to inverse problem resolution. 5.5. Bibliographical notes -- ch. 6. Direct and inverse problems in intuitionistic fuzzy relational calculus. 6.1. Intuitionistic fuzzy relations. Compositions. 6.2. Intuitionistic fuzzy matrices. Direct and inverse problems. 6.3. Intuitionistic fuzzy relational equations. 6.4. Bibliographical notes -- ch. 7. [symbol]-fuzzy finite machines. 7.1. [symbol]-fuzzy finite machines. Behavior. 7.2. Equivalences. 7.3. Reduction and minimization. 7.4. Intuitionistic fuzzy finite machines. 7.5. Bibliographical notes -- ch. 8. Fuzzy languages in syntactic pattern recognition. 8.1. Finite [symbol]-fuzzy acceptors and regular [symbol]-fuzzy languages. 8.2. Intuitionistic fuzzy languages in syntactic pattern recognition. 8.3. Bibliographical notes -- ch. 9. Applications as inference engine. 9.1. Architecture of system with artificial intelligence. 9.2. Fuzzy linear system of equations as inference engine. 9.3. Intuitionistic fuzzy linear system as inference engine. 9.4. Bibliographical notes -- ch. 10. Software description. 10.1. Unary matrix operations. 10.2. Binary matrix operations. 10.3. Compositions. 10.4. Inverse problem. 10.5. Intuitionistic fuzzy relational calculus. 10.6. Engineering examples
Advances in fuzzy systems, v. 22
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