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Arithmetic operations of trapezoidal fuzzy variable using credibility theory

International Journal of Business Forecasting and Marketing Intelligence, 2017
In this paper, we have developed an alternative method of finding the fuzzy membership function which leads the functions of trapezoidal fuzzy variables. Here we have used the concept of credibility theory to find out an alternative method of computing different type arithmetic operations of trapezoidal fuzzy variables. This method also lead us to find
Totan Garai   +2 more
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Arithmetic operators in interval-valued fuzzy set theory

Information Sciences, 2007
The paper deals with one of the extensions of fuzzy set theory, namely with interval-valued fuzzy sets (which are equivalent to the intuitionistic fuzzy sets). The main contribution of the paper consists in the introduction of basic arithmetic operators on the interval-valued fuzzy sets and in the analysis of their properties.
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Detection of power system operation violations via fuzzy set theory

Electric Power Systems Research, 1996
Abstract The purpose of this paper is to apply fuzzy set theory to one of the basic dimensions of power system reliability, the magnitude of a failure. The fuzzy set theory technique introduces an index which is developed from a membership function describing the power system behavior. The membership function developed for specific problems solved by
S.S. Hassan, P. Rastgoufard
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An electronic video camera image stabilizer operated on fuzzy theory

[1992 Proceedings] IEEE International Conference on Fuzzy Systems, 2003
An electronic video camera image stabilizer was developed. It eliminates a substantial part of the image instability caused by the involuntary movement of camera holders. The discrimination between image movement caused by unstable hand-holding and that of moving objects becomes possible by developing the following process: (1) dividing the image taken
Y. Egusa   +3 more
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Image edge extraction based on fuzzy theory and Sobel operator

2016 IEEE 20th International Conference on Computer Supported Cooperative Work in Design (CSCWD), 2016
Image edge detection is a hot topic in the study of image processing and computer vision. Accurate edge information is helpful to the study of high-level image features. However, the image edge information is vague and uncertain. Fuzzy theory is expressed with the imprecise knowledge, and it is one of the effective methods to solve the problem with ...
Yulan Liu, Yi Long
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Algebraic Structures and Operations in Fuzzy Soft Set Theory

Communications on Applied Nonlinear Analysis, 2020
Fuzzy soft set theory, introduced as a synthesis of fuzzy set and soft set frameworks, has gained prominence as a robust approach to handling parameterized uncertainty in mathematical modeling. In this paper, we examine the algebraic structures that emerge within the framework of fuzzy soft sets, focusing on the development of fuzzy soft groups ...
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Flood Control Operations Based on the Theory of Variable Fuzzy Sets

Water Resources Management, 2011
Flood control decisions are often involved with quantitative and qualitative criteria. In this paper, a decision model is presented for flood control operations based on the theory of variable fuzzy sets. Using dual comparison, two models computing relative membership grades with qualitative and quantitative criteria are established, respectively.
X. J. Wang, R. H. Zhao, Y. W. Hao
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Applications of fuzzy set theory in reservoir operations

2009
Attempts to maximize benefits from hydroelectric reservoirs with mathematical models have been a focus of study for water resource specialists. As increasingly complex models are developed to more closely imitate reality, their usefulness may paradoxically diminish since reservoir operators are less apt to fully understand the models. This results in a
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Generalizing Operations of Binary Autoassociative Morphological Memories Using Fuzzy Set Theory

Journal of Mathematical Imaging and Vision, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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POWERSET OPERATOR FOUNDATIONS FOR CATALG FUZZY SET THEORIES

2011
The paper sets forth in detail categorically-algebraic or catalg foundations for the operations of taking the image and preimage of (fuzzy) sets called forward and backward powerset operators. Motivated by an open question of S. E. Rodabaugh, we construct a monad on the category of sets, the algebras of which generate the fixed-basis forward powerset ...
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