A short note on LCBA - fuzzy logic with a non-associative conjunction
Miroslav Kolařík
Discussiones Mathematicae - General Algebra and Applications, Tome 36 (2016), p. 113-116 / Harvested from The Polish Digital Mathematics Library

We significantly simplify the axiomatic system LCBA for fuzzy logic with a non-associative conjunction.

Publié le : 2016-01-01
EUDML-ID : urn:eudml:doc:286857
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     author = {Miroslav Kola\v r\'\i k},
     title = {A short note on $L\_{CBA}$ - fuzzy logic with a non-associative conjunction},
     journal = {Discussiones Mathematicae - General Algebra and Applications},
     volume = {36},
     year = {2016},
     pages = {113-116},
     language = {en},
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Miroslav Kolařík. A short note on $L_{CBA}$ - fuzzy logic with a non-associative conjunction. Discussiones Mathematicae - General Algebra and Applications, Tome 36 (2016) pp. 113-116. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1247/

[000] [1] M. Botur and R. Halaš, Commutative basic algebras and non-associative fuzzy logics, Arch. Math. Logic 48 (2009), 243-255. doi: 10.1007/s00153-009-0125-7 | Zbl 1168.03014

[001] [2] M. Botur, I. Chajda, R. Halaš, J. Kühr and J. Paseka, Algebraic Methods in Quantum Logic (Palacky University, Olomouc, 2014), 200 pages, ISBN 978-80-244-4166-5. | Zbl 1314.03003

[002] [3] P. Cintula, Short note: on the redundancy of axiom (A3) in BL and MTL, Soft Computing 9 (2005), 942-942. doi: 10.1007/s00500-004-0445-9 | Zbl 1093.03011

[003] [4] P. Hájek, Metamathematics of Fuzzy Logic, vol. 4 of Trends in Logic (Dordercht, Kluwer, 1998), 299 pages, ISBN 978-94-011-5300-3. | Zbl 0937.03030

[004] [5] P. Hájek and R. Mesiar, On copulas, quasicopulas and fuzzy logic, Soft Computing 12 (2008), 1239-1243. doi: 10.1007/s00500-008-0286-z | Zbl 1152.03018

[005] [6] V. Kreinovich, Towards more realistic (e.g. non-associative) 'and'- and 'or'-operations in fuzzy logic, Soft Computing 8 (2004), 274-280. doi: 10.1007/s00500-003-0272-4 | Zbl 1074.03011

[006] [7] S. Lehmke, Fun with automated proof search in basic propositional fuzzy logic, Abstracts of the Seventh International Conference FSTA 2004 (P.E. Klement, R. Mesiar, E. Drobná and F. Chovanec, eds.), (Liptovský Mikuláš), 2004, 78-80.

[007] [8] R.B. Nelsen, An Introduction to Copulas (Springer-Verlag, New York, 2006), 286 pages, ISBN 978-0-387-28659-4. | Zbl 1152.62030

[008] [9] R.R. Yager, Modelling holistic fuzzy implication using co-copulas, Fuzzy Optim. Decis. Making 5 (2006), 207-226. doi: 10.1007/s10700-006-0011-2 | Zbl 1127.03324

[009] [10] H.H. Zimmerman and P. Zysno, Latent connectives in human decision making, Fuzzy Sets and Systems 4 (1980), 37-51. doi: 10.1016/0165-0114(80)90062-7