Theory of Fuzzy Generalized Morphisms and Relational Inequalities

We present here the theory of generalized morphisms and fuzzy relational inequalities and discuss some of these applications. Results presented in this paper extend the work of Bandler and Kohout (1986) ["On the general theory of relational morphisms", International Journal of General Systems, 13, pp. 47-66] published in this journal previously, to relational systems based on residuated t-norm fuzzy logics.

[1]  Radim Belohlávek,et al.  Similarity relations and BK-relational products , 2000, Inf. Sci..

[2]  L. Kohout,et al.  Special properties, closures and interiors of crisp and fuzzy relations , 1988 .

[3]  L. J. Kohout,et al.  The role of BK-products of relations in soft computing , 2002, Soft Comput..

[4]  Wyllis Bandler,et al.  Fuzzy Relational Products as a Tool for Analysis and Synthesis of the Behaviour of Complex Natural and Artificial Systems , 1980 .

[5]  J. Fodor.  On fuzzy implication operators , 1991 .

[6]  L. Kohout,et al.  FUZZY POWER SETS AND FUZZY IMPLICATION OPERATORS , 1980 .

[7]  Ladislav J. Kohout.  Basic algebra of BK products of relations in t-norm fuzzy logics , 2000, Ninth IEEE International Conference on Fuzzy Systems. FUZZ- IEEE 2000 (Cat. No.00CH37063).

[8]  Ladislav J. Kohout,et al.  Relational-product architectures for information processing , 1985, Inf. Sci..

[9]  Ladislav J. Kohout,et al.  ON THE UNIVERSALITY OF THE TRIANGLE SUPERPRODUCT AND THE SQUARE PRODUCT OF RELATIONS , 1997 .

[10]  C.J.H. Mann,et al.  Fuzzy Relational Systems: Foundations and Principles , 2003 .

[11]  L. Kohout,et al.  Fuzzy Relational Products in Knowledge Engineering , 1992 .

[12]  Ladislav J. Kohout,et al.  Generating Control Strategies for Resolution-Based Theorem Provers by Means of Fuzzy Triangle Products and Relational Closures , 1993 .

[13]  Ladislav J. Kohout,et al.  The use of fuzzy information retrieval in knowledge-based management of patients' clinical profiles , 1986, IPMU.

[14]  Alfred Tarski,et al.  Relational selves as self-affirmational resources , 2008 .

[15]  Petr Hájek,et al.  A REMARK ON BANDLER-KOHOUT PRODUCTS OF RELATIONS , 1996 .

[16]  Eunjin Kim,et al.  Reasoning with Cognitive Structures of Agents I: Acquisition of Rules for Computational Theory of Perceptions by Fuzzy Relational Methods , 2000 .

[17]  Ladislav J. Kohout,et al.  Semantics of implication operators and fuzzy relational products , 1980 .

[18]  L. Kohout,et al.  FUZZY POWER SETS AND FUZZY IMPLICATION OPERATORS , 1980 .

[19]  Ladislav J. Kohout.  A perspective on intelligent systems: a framework for analysis and design , 1990 .

[20]  John Anderson,et al.  CLINAID: MEDICAL KNOWLEDGE-BASED SYSTEM BASED ON FUZZY RELATIONAL STRUCTURES , 1995 .

[21]  W. Bandler,et al.  Fuzzy Interval Inference Utilizing the Checklist Paradigm and BK-Relational Products , 1996 .