This article discusses the fuzzy modeling and situational analysis of technological safety of industrial complexes and decision-making for their management in the face of uncertainty and vagueness of the initial information on the basis of the theory of fuzzy sets and fuzzy logic. A formal model for description of fuzzy situations in the form of fuzzy sets and rational decision-making in a vari...

Based on the concept of limit of prefilters and residual implication, several notions in fuzzy topology are fuzzyfied in the sense that, for each notion, the degree to which it is fulfilled is considered. We establish therefore theories of degrees of compactness and relative compactness, of closedness, and of continuity. The resulting theory generalizes the corresponding “crisp” theory in the r...

one of the main problems of supply chain network design is uncertainty. to consider this, designing of a three-echelon supply chain in a fuzzy environment is discussed in this paper. since satisfaction of some constraints in supply chain is vital and necessary, so this research proposes a direct solution approach to find the solution which represents the trade-off between feasibility degree of ...

This article may be used for research, teaching, and private study purposes. Any substantial or systematic reproduction, redistribution, reselling, loan, sub-licensing, systematic supply, or distribution in any form to anyone is expressly forbidden. The publisher does not give any warranty express or implied or make any representation that the contents will be complete or accurate or up to date...

The aim of this paper is investigate the notion of a generalized interval valued intuitionistic fuzzy number (GIVIFN), which extends the interval valuedintuitionistic fuzzy number. Firstly, the concept of GIVIFNBs is introduced.Arithmetic operations and cut sets over GIVIFNBBs are investigated. Then the values and ambiguities of the membership degree and the non-membership degree and the value ...

objectives: each year, the united nations publishes an annual report titled by “human development report” for all countries around the world which in which the complex index for human development for achieving health life alongside education and economic welfare is examined. the innate ambiguity in estimation of human development index has brought about numerous criticism against the method of ...

We examine the properties of function approximation using polynomial rules in a fuzzy system. We show that this kind of fuzzy function approximation is equivalent to Lagrange polynomial interpolation between turning points when normalized fuzzy function memberships are used. The fuzzy inference procedure combines two polynomials of degree n and m in x into one single polynomial of at most degre...

In this paper, the Urysohn, completely Hausdorff and completely regular axioms in $L$-topological spaces are generalized to $L$-fuzzy topological spaces. Each $L$-fuzzy topological space can be regarded to be Urysohn, completely Hausdorff and completely regular tosome degree. Some properties of them are investigated. The relations among them and $T_2$ in $L$-fuzzy topological spaces are discussed.

In this paper, we point out that the definition of fuzzy attribute implication actually implies a minimal degree and thus may be impractical in some applications. To solve this, we introduce probability information to fuzzy inclusion degree, and discuss some properties of this definition. Illustrations verifies the correctness of probability fuzzy attribute implication.