Bilattice-based squares and triangles

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 3571 LNAI, Issue , 2005, Pages 563-575

  Arieli, Ofer ^a   Cornelis, Chris ^b   Deschrijver, Glad ^b   Kerre, Etienne ^b  

^a ACADEMIC COLLEGE OF TEL AVIV YAFFO   (Israel)

^b GHENT UNIVERSITY   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

INFORMATION ANALYSIS; INFORMATION RETRIEVAL SYSTEMS; KNOWLEDGE REPRESENTATION;

GINSBERG'S/FITTING'S THEORY; INTERVAL-VALUED FUZZY SETS (IVFS); INTUITIONISTIC FUZZY SETS (IFS);

FUZZY SETS;

EID: 26944497869     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/11518655_48     Document Type: Conference Paper

References (27)

1. O. Arieli and A. Avron. Reasoning with logical bilattices. Journal of Logic, Language, and Information, 5(1):25-63, 1996.
2. O. Arieli and A. Avron. Bilattices and paraconsistency. In Frontiers of Paraconsistent Logic, pages 11-27. Research Studies Press, 2000.
3. O. Arieli, C. Cornelis, G. Deschrijver, and E. Kerre. Relating intuitionistic fuzzy sets and interval-valued fuzzy sets through bilattices. In Applied Computational Intelligence, pages 57-64. World Scientific, 2004.
4. K. T. Atanassov. Intuitionistic fuzzy sets, 1983. VII ITKR's Session, Sofia (deposed in Central Sci.-Technical Library of Bulg. Acad. of Sci., 1697/84) (in Bulgarian).
5. K. T. Atanassov. Remark on a property of the intuitionistic fuzzy interpretation triangle. Notes on Intuitionistic Fuzzy Sets, 8:8-37, 2002.
6. N. D. Belnap. How a computer should think. In G. Ryle, editor, Contemporary Aspects of Philosophy, pages 30-56. Oriel Press, 1977.
7. N. D. Belnap. A useful four-valued logic. In Modern Uses of Multiple-Valued Logic, pages 7-37. Reidel Publishing Company, 1977.
8. C. Chang. Algebraic analysis of many valued logics. Trans. AMS, 93:74-80, 1958.
9. C. Cornelis. Two-sidedness in the representation and processing of imprecise information, 2004. Ph. D. Thesis, Ghent University.
10. C. Cornells, K. T. Atanassov, and E. Kerre. Intuitionistic fuzzy sets and interval-valued fuzzy sets: a comparison. In Proc. EUSFLAT'03, pages 159-163, 2003.
11. C. Cornelis, G. Deschrijver, and E. Kerre. Implication in intuitionistic and interval-valued fuzzy set theory: Construction, classification, application. International Journal of Approximate Reasoning, 35(1):55-95, 2004.
12. G. Deschrijver, C. Cornelis, and E. Kerre. Square and triangle: a comparison. In Proc. IPMU'04, pages 1389-1396, 2004.
13. G. Deschrijver and E. Kerre. On the relationship between some extensions of fuzzy set theory. Fuzzy Sets and Systems, 133(2):227-235, 2003.
14. M. Fitting. Personal communication.
15. M. Fitting. Bilattices and the semantics of logic programming. Journal of Logic Programming, 11(2):91-116, 1991.
16. M. Fitting. Kleene's logic, generalized. Logic and Computation, 1:797-810, 1992.
17. P. Fortemps and R. Slowiński. A graded quadrivalent logic for ordinal preference modelling. Fuzzy Optimization and Decision Making, 1:93-111, 2002.
18. G. Gargov. Knowledge, uncertainty and ignorance in logic: bilattices and beyond. Journal of Applied Non-Classical Logics, 9(2-3):195-283, 1999.
19. M. L. Ginsberg. Multi-valued logics: A uniform approach to reasoning in artificial intelligence. Computer Intelligence, 4:256-316, 1988.
20. J. Goguen. L-fuzzy sets. Journal Math. Anal. Appl., 18:145-174, 1967.
21. S. Jenei and B. De Baets. On the direct decomposability of t-norms onproduct lattices. Fuzzy Sets and Systems, 139(3):699-707, 2003.
22. B. Messing. Combining knowledge with many-valued logics. Data and Knowledge Engineering, 23:297-315, 1997.
23. R. Nelken and N. Francez. Bilattices and the semantics of natural language questions. Linguistic and Philosophy, 25(1):37-64, 2002.
24. G. Takeuti and S. Titani. Intuitionistic fuzzy logic and intuitionistic fuzzy sets theory. Journal of Symbolic Logic, 49:851-866, 1984.
25. A. Tsoukiàs and P. Vincke. Extended preference structures in mcda. In J. Clímaco, editor, Multi-criteria Analysis, pages 37-50. Springer-Verlag, 1997.
26. E. Turunen. Mathematics behind fuzzy logic. Advances in Soft Computing, 1999.
27. L. A. Zadeh. Fuzzy sets. Information and Control, 8:338-353, 1965.