In this paper, a bibliometric study on the interconnections between the fuzzy logic theory field and the other softcomputing techniques is presented. Bibliometric maps showing the associations between the main concepts between these research fields are provided for the periods 1990–1999, 2000–2003, and 2004–2007. The maps provide insight into the structure of these fields. They visualize the di...

I. Fuzzy adaptive principle Fuzzy control based on fuzzy set theory, fuzzy linguistic variables and fuzzy logic inference for a computer based control method widely used in the control field, as an important branch of intelligent control, fuzzy control compared with the traditional control method has the following outstanding advantages: · No precise mathematical model of controlled object; · U...

Classical Description Logics (DLs) [2] cannot properly deal with the endemic imprecision of biomedical knowledge. For example, the current version of the SNOMEDCT ontology defines a “Perinatal Cyanotic Attack” as a cardiovascular disorder occurring in the perinatal period and manifested through cyanosis. This definition depends on two vague notions, namely the perinatal period—the period of tim...

In this paper, a computational model of fuzzy reliability focusing on solving the engineering problems with random general stress–fuzzy general strength is presented. The mathematical basis of this computational model is that the fuzzy probability can be computed with the computational method of conventional probability by use of a mathematical transition. Based on this computational model, a n...

Fuzzy logics based on residuated t-norms provide a robust mathematical formalism for logical deduction under uncertain or vague premises. In this paper, we describe a decision algorithm for the tautology problem of Basic Logic, which is the logic of continuous t-norms and their residua [Háj98, CEGT00]. Our algorithm is a refinement of the semantic method of Baaz, Hájek, Montagna, and Veith [BHM...

Fuzzy Logic (Fuzzy Logic) is a branch of science based on thinking like human beings and solving them with mathematical functions. logic theory theory. Based fuzzy set theory, it also uses intermediate values. The that emerged in 1965 used many fields. In the production pacemakers, artificial organs, electronic devices, company efficiency estimation, etc. situations are used. logic, which frequ...

Intuitionistic fuzzy sets can effectively deal with the support information, opposition information and abstention information of candidates in many voting. However, it may be hardly to handle some information of voting for non-candidates in some voting. In order to handle the aforementioned problem, the concept of ternary fuzzy set and ternary fuzzy number are defined, and the corresponding op...

In the field of non-monotonic logics, the notion of rational closure is acknowledged as a landmark and we are going to see whether such a construction can be adopted in the context of mathematical fuzzy logic, a so far (apparently) unexplored journey. As a first step, we will characterise rational closure in the context of Propositional Gödel Logic.