This paper is devoted to propose triangular fuzzy number neutrosophic sets by combining triangular fuzzy numbers with single valued neutrosophic set and define some of its operational rules. Then, triangular fuzzy number neutrosophic weighted arithmetic averaging operator and triangular fuzzy number neutrosophic weighted geometric averaging operator are defined to aggregate triangular fuzzy num...

The article presents a multidimensional type 2 epistemic fuzzy arithmetic (MT2EF-arithmetic) based on the new body definition of set (T2FS), which in authors’ opinion, is more suitable for computing than current versions (FA) border T2FS. proposed MT2EF-arithmetic designed variables and has mathematical properties that allow obtaining universal algebraic calculation results. performs calculatio...

According to complicated fault characteristic of rotating machinery, its fault diagnosis based on wavelet fuzzy neural network (WFNN) which combines wavelet packet analysis and fuzzy neural network is put forward. By using it, the fuzzy fault diagnosis of rotating machinery is realized. All the arithmetic process of WFNN is realized through the computer. The results of simulation and test indic...

This paper describes an online lossless datacompression method using adaptive arithmetic coding. To achieve good compression efficiency, we employ an adaptive fuzzy-tuning modeler that applies fuzzy inference to deal efficiently with the problem of conditional probability estimation. In comparison with other lossless coding schemes, the compression results of the proposed method are good and sa...

Ranking alternatives (both qualitative as well as quantitative) in a multicriterion environment, employing experts opinion (preference structure) using fuzzy numbers and linguistic variables, are presented in this paper. Fuzzy weights (wJ i ) of alternatives (A i ) are computed using standard fuzzy arithmetic. Concept of maximizing set and minimizing set is introduced to decide total utility or...

In this paper, a more general definition of triangular intuitionistic fuzzy number (TIFN) is proposed by removing the `normality' in the definition of intuitionistic fuzzy number. The basic arithmetic operations of generalized triangular intuitionistic fuzzy numbers (GTIFNs) and the notion of -cut sets are defined. Also a nearest interval approximation method is described to approximate a GTIFN...

The new arithmetic operations of non-normal fuzzy sets are studied in this paper by using the extension principle and considering general aggregation function. Usually, functions taken to be minimum function or t-norms. In paper, we considered a set up sets. applications, always transferred their corresponding ?-level When is function, transformation clearly realized. Since was adopted concept ...

The aim of this discussion is to introduce a new fuzzy regression model, based on the distance between the outputs of the model in terms of its measurements along with the optimal confidence level ‘h’ using the shape preserving operations. Simple fuzzy regression models with fuzzy inputfuzzy outputs are also considered in which the coefficients of the models are themselves triangular fuzzy numb...