Equations and Inequalities With BK-Products of Relations
作者： L. J. Kohout
DOI: 10.1007/978-3-540-39675-8_9
关键词: Algebraic number 、 Forward compatibility 、 Morphism 、 Constructive 、 Algebra 、 Compatibility (mechanics) 、 Fuzzy logic 、 Mathematics 、 Backward compatibility 、 Homomorphism
摘要: The paper presents an algebraic setting for dealing with fuzzy relational inequalities and equations. apparatus that provides constructive means formulating the algorithns is based on pseudoassociative compositions of relations called BK-products in literature. allow us to develop theory generalized morphisms which extension substantial generalization crisp homomorphisms. This yields two kinds: (1) Generalized Morphisms (or forward compatibility) (2) Proteromorphisms (backward compatibility). When both properties hold, we obtain Ampimorphisms (both-ways Stadard or homomorphisms are special cases Amphimorphisms.
springer.com
sci-hub.st 参考文章(41)
Ladislav J. Kohout, Yong-Gi Kim, Generating Control Strategies for Resolution-Based Theorem Provers by Means of Fuzzy Triangle Products and Relational Closures Springer Netherlands. pp. 181- 192 ,(1993) , 10.1007/978-94-011-2014-2_18
Benjoe A. Wyllis Bandler Juliano, Wyllis Bandler, Benjoe A. Juliano, Tracing Chains-of-Thought: Fuzzy Methods in Cognitive Diagnosis ,(1996)
Ladislav J. Kohout, Eunjin Kim, Reasoning with Cognitive Structures of Agents I: Acquisition of Rules for Computational Theory of Perceptions by Fuzzy Relational Methods Springer, Boston, MA. pp. 161- 188 ,(2000) , 10.1007/978-1-4615-4513-2_8
Wyllis Bandler, Ladislav J. Kohout, Fuzzy Relational Products as a Tool for Analysis and Synthesis of the Behaviour of Complex Natural and Artificial Systems Fuzzy Sets. pp. 341- 367 ,(1980) , 10.1007/978-1-4684-3848-2_26
L. J. Kohout, W. Bandler, Fuzzy Interval Inference Utilizing the Checklist Paradigm and BK-Relational Products Springer, Boston, MA. pp. 291- 335 ,(1996) , 10.1007/978-1-4613-3440-8_12
Yacov Y. Haimes, Systems and control encyclopedia : Edited by Madan G. Singh. Automatica. ,vol. 24, pp. 845- 846 ,(1988) , 10.1016/0005-1098(88)90063-5
Wyllis Bandler, Ladislav J. Kohout, Cuts Commute with Closures Springer Netherlands. pp. 161- 167 ,(1993) , 10.1007/978-94-011-2014-2_16
R. Lowen, Marc Roubens, Fuzzy logic : state of the art Kluwer Academic. ,(1993)
Ladislav Kohout, A perspective on intelligent systems: a framework for analysis and design Chapman & Hall, Ltd.. ,(1990)
L.J. Kohout, A. Strotmann, R.A. van Engelen, Knowledge engineering methods for climate models systems man and cybernetics. ,vol. 4, pp. 2193- 2198 ,(2001) , 10.1109/ICSMC.2001.972881