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In this paper, we put forward the AFS (Axiomatics Fuzzy Sets) fuzzy logic which is a new logic system based on AFS theory. Instead of using T-norm, S-norm and negative operator, AFS fuzzy logic is set up by uniform algorithm according to the original data of the real world problems. It is not only similar to human thinking logic, but also convenient for the computers to process and can convert information in database to the fuzzy sets which can been easily apprehended and utilized by human.
In this paper, we propose new methods to represent interdependence among alternative attributes and experts’ opinions by constructing Choquet integral using interval-valued intuitionistic fuzzy numbers. In the sequel, we apply these methods to solve the multiple attribute group decision-making (MAGDM) problems under interval-valued intuitionistic fuzzy environment. First, the concept of interval-valued intuitionistic fuzzy Choquet integral is defined, and some elementary properties are studied in detail. Next, an axiomatic system of interval-valued intuitionistic fuzzy measure is established by delivering a series of mathematical proofs. Then, with fuzzy entropy and Shapely-values in game theory, we propose the interval-valued intuitionistic fuzzy measure development methods in order to form the importance measure of attributes and correlation measure of the experts, respectively. Based on the results of theoretical analysis, a new method is proposed to handle the interval-valued intuitionistic fuzzy group decision making problems. A numerical example illustrates the procedure of the proposed methods and verifies the validity and effectiveness of our new proposed methods.
Described in this paper is a logic-modeling framework, based on fuzzy neural networks (FNNs) to identify causal relationships among variables. A case study is presented from the industrial construction domain to demonstrate the capability of the proposed system in finding plausible explanations of observed performance failures.
In this chapter, we introduce a concept of Computational Intelligence (CI), define its key components—contributing technologies of neurocomputing, granular computing, especially fuzzy sets, and evolutionary methods, and discuss the underlying design methodology. Subsequently, we elaborate on the use of CI as the design and analysis venue of telecommunications systems, especially ATM networks and active networks.