The LindstrØm-Type Characterization of Hajek's Fuzzy Logic of Integrals

2021 ◽  
Author(s):  
Krystian Adam Jobczyk
Keyword(s):  
Fuzzy Logic

Mathematics Based on Fuzzy Logic

2017 ◽  
Author(s):  
Radim Bělohlávek ◽  
Joseph W. Dauben ◽  
George J. Klir
Keyword(s):  
Fuzzy Logic ◽  
Mathematical Analysis ◽  
Classical Logic ◽  
Mathematical Reasoning ◽  
Narrow Sense ◽  
And Mathematics ◽  
Truth Degrees

Mathematical reasoning is governed by the laws of classical logic, based on the principle of bivalence. With the acceptance of intermediate truth degrees, the situation changed substantially. This chapter begins with a characterization of mathematics based on fuzzy logic, an identification of principal issues of its development, and an outline of this development. It then examines the role of fuzzy logic in the narrow sense for developing mathematics based on fuzzy logic and the main approaches developed toward its foundations. Next, some selected areas of mathematics based on fuzzy logic are presented, such as the theory of sets and relations, algebra, topology, quantities and mathematical analysis, probability, and geometry. The chapter concludes by examining various semantic questions regarding fuzzy logic and mathematics based on it.

Application of Fuzzy Logic Techniques for Biogeochemical Characterization of Dams Affected by Acid Mine Drainage (AMD) Processes in the Iberian Pyrite Belt (IPB), Spain

2020 ◽  
Vol 231 (4) ◽  
Author(s):  
María J. Rivera ◽  
María Santisteban ◽  
Javier Aroba ◽  
José Antonio Grande ◽  
José Miguel Dávila ◽  
...  
Keyword(s):  
Fuzzy Logic ◽  
Acid Mine Drainage ◽  
Mine Drainage ◽  
Iberian Pyrite Belt ◽  
Acid Mine

A characterization of watermelon leaf diseases using Fuzzy Logic

2012 ◽  
Author(s):  
Noor Ezan Abdullah ◽  
Hadzli Hashim ◽  
Yuslinda Wati Mohammad Yusof ◽  
Fairul Nazmie Osman ◽  
Aida Sulinda Kusim ◽  
...  
Keyword(s):  
Fuzzy Logic

Quasi-discriminator varieties

2014 ◽  
Vol 24 (03) ◽  
pp. 375-411 ◽  
Author(s):  
Francesco Paoli ◽  
Antonio Ledda ◽  
Tomasz Kowalski ◽  
Matthew Spinks
Keyword(s):  
Fuzzy Logic ◽  
General Concept ◽  
Discriminator Variety ◽  
Algebraic Characterization ◽  
Basic Properties ◽  
Discriminator Varieties ◽  
Lattice Of Subvarieties

We generalize the notion of discriminator variety in such a way as to capture several varieties of algebras arising mainly from fuzzy logic. After investigating the extent to which this more general concept retains the basic properties of discriminator varieties, we give both an equational and a purely algebraic characterization of quasi-discriminator varieties. Finally, we completely describe the lattice of subvarieties of the pure pointed quasi-discriminator variety, providing an explicit equational base for each of its members.

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