YinYang bipolar T-Norms and T-Conorms as granular neurological operators

2006 IEEE International Conference on Granular Computing

Volumn , Issue , 2006, Pages 91-96

  Zhang, Wen Ran ^a,b  

^a IEEE   (United States)

^b GEORGIA SOUTHERN UNIVERSITY   (United States)

Author keywords

Bipolar DeMorgan's laws; Bipolar T norms and T conorms; Granular neurological operators; Norm based bipolar universal modus ponens; Psychopharmacology

Indexed keywords

BIPOLAR UNIVERSAL MODUS PONENS (BUMP); DEMORGAN'S LAWS; GRANULAR NEUROLOGICAL OPERATORS; PSYCHOPHARMACOLOGY;

COMPUTATIONAL METHODS; FORMAL LOGIC; FUZZY SETS; NEUROLOGY; PHARMACODYNAMICS;

MATHEMATICAL OPERATORS;

EID: 33751071360     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (23)

1. NIMH, Bipolar Disorder - A detailed booklet that describes symptoms, causes, and treatments, with information on getting help and coping. 2001.
2. K. Atanassov, "Intuitionistic Fuzzy Sets." Fuzzy Sets and systems, 20, 1986, 87-96.
3. N. Belnap, "A useful 4-valued logic." in Modern Uses of Multiple-Valued Logic, G. Epstein and J. M. Dunn (eds). Reidel, 8-37, 1977.
4. S. Benferhat, D. Dubois, S. Kaci, H. Prade, Bipolar possibility theory in preference modeling: Representation, fusion and optimal solutions. Information Fusion, an International Journal on Multi-Sensor, Multi-Source Information Fusion, 2005.
5. G. Boole, An Investigation of the Laws of Thoughts. MacMillan, London, 1854. Reprinted by Dover Books, New York.
6. L. Brouwer, E. J., 1912, "Intuitionism and Formalism," English translation by A. Dresden in Bull. Amer. Math. Soc. 20 (1913): 81-96, reprinted in Benacerraf and Putnam, eds., 1983: 77-89; also reprinted in Heyting, ed., 1975: 123-138.
7. M. Ginsberg, "Bilattices and Modal Operators." J. of Logic and Computation, Oxford University Press, 1(1):41-69, 1990.
8. J. Goguen, "L-Fuzzy Sets." J. Mathematical Analysis and Applications, 18, 145-174, 1967.
9. L. Xu, "Bayesian Ying Yang Learning (I): A Unified Perspective for Statistical Modeling", Intelligent Technologies for Information Analysis, N. Zhong and J. Liu (eds), Springer, pp615-659, 2004.
10. L. Xu, "Bayesian Ying Yang Learning (II): A New Mechanism for Model Selection and Regularization", Intelligent Technologies for Information Analysis, N. Zhong and J. Liu (eds), Springer, pp661-706, 2004.
11. L. Zadeh, "Fuzzy sets." Information and Control, 8, 338-353, 1965.
12. W. Zhang, S. Chen, and J. C. Bezdek, "POOL2: A Generic System for Cognitive Map Development and Decision Analysis." IEEE Trans. on SMC., Vol. 19, No. 1, Jan./Feb. 1989, 31-39.
13. W. Zhang, "Equilibrium Relations and Bipolar Cognitive Mapping for Online Analytical Processing with Applications in International Relations and Strategic Decision Support." IEEE Trans. on SMC, Part B, Vol. 33. No. 2, April 2003. pp295-307.
14. W. Zhang and L. Zhang "Soundness and Completeness of a 4-Valued Bipolar Logic." Int'l Journal on Multiple-Valued Logic, Vol. 9, 2003, pp241-256.
15. W. Zhang, "Equilibrium Energy and Stability Measures for Fuzzy Decision and Global Regulation." International Journal of Fuzzy Systems (Special Issue, Ed. Hao Ying and Bao-Gang. Hu) Vol. 5, No. 2, June 2003, pp114-122.
16. W. Zhang and L. Zhang, "YinYang Bipolar Logic and Bipolar Fuzzy Logic." Information Sciences. Vol. 165, No. 3-4, 2004, pp265-287.
17. W. Zhang, "YinYang Bipolar Cognition and Bipolar Cognitive Mapping." International Journal of Computational Cognition. Vol.3, No. 3, 2005.
18. th Joint Conference on Information Sciences, Salt Lake City, Utah, July 21-26, 2005, 1396-1399.
19. W. Zhang, "YinYang Bipolar Lattices and L-Sets for Bipolar Knowledge Fusion, Visualization, and Decision." Int'l J. on Information Technology and Decision Making, Vol. 4, No. 4 (Dec., 2005) 621-645.
20. W. Zhang, "YinYang Bipolar Fuzzy Sets and Fuzzy Equilibrium Relations for Clustering, Optimization, and Global Regulation." Int'l J. on Information Technology and Decision Making, March, 2006.
21. W. Zhang, A. Pandurangi, and K. Peace, "YinYang Bipolar Neurological Modeling and Diagnostic Analysis." To appear.
22. W. Zhang, "YinYang Bipolar DeMorgan's Laws and Universal Modus Ponens for Neurological Data Mining." To appear.
23. Y. Zhang and A. Kandel, "Intrinsic mechanisms and application principles of general fuzzy logic through Yin-Yang analysis." Information Sciences, Vol.106, pp. 87-104, 1998.