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A new perspective on traffic control management using triangular interval type-2 fuzzy sets and interval neutrosophic sets [PDF]
Controlling traffic flow on roads is an important traffic management task necessary to ensure a peaceful and safe environment for people. The number of cars on roads at any given time is always unknown.
D. Nagarajan +3 more
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Interval Arithmetic and Standardization [PDF]
Interval arithmetic is arithmetic for continuous sets. Floating-point intervals are intervals of real numbers with floating-point bounds. Operations for intervals can be efficiently implemented. There is an unanimous agreement, how to define the basic operations, if we exclude division by an interval containing zero. Hence, it should be standardized.
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Interval arithmetic in calculations
Interval arithmetic is the mathematical structure, which for real intervals defines operations analogous to ordinary arithmetic ones. This field of mathematics is also called interval analysis or interval calculations.
Bairbekova Gaziza +3 more
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Automatic differentiation of uncertainties: an interval computational differentiation for first and higher derivatives with implementation [PDF]
Acquiring reliable knowledge amidst uncertainty is a topical issue of modern science. Interval mathematics has proved to be of central importance in coping with uncertainty and imprecision.
Hend Dawood, Nefertiti Megahed
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Using interval arithmetic for providing a MADM approach [PDF]
The VIKOR method was developed for Multi-Criteria Decision Making (MCDM). It determines the compromise ranking list and the compromise solution obtained with the initial weights.
Hossein Jafari, Mohammad Ehsanifar
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In scientific journals, it is increasingly common to find articles presenting methods for solving problems not based on idealistic mathematical models containing perfectly accurate coefficient values that cannot be obtained in practice, but on models in ...
Andrzej Piegat, Marcin Pluciński
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Interval Ranges of Fuzzy Sets Induced by Arithmetic Operations Using Gradual Numbers
Wu introduced the interval range of fuzzy sets. Based on this, he defined a kind of arithmetic of fuzzy sets using a gradual number and gradual sets. From the point of view of soft computing, this definition provides a new way of handling the arithmetic ...
Qingsong Mao, Huan Huang
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The paper presents a method of determining the robustness of solutions of systems of interval linear equations (ILEs). The method can be applied also for the ILE systems for which it has been impossible to find solutions so far or for which solutions in ...
Piegat Andrzej, Pluciński Marcin
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Some Advantages of the RDM-arithmetic of Intervally-Precisiated Values [PDF]
Moore's interval arithmetic always provides the same results of arithmetic operations, e.g. [1, 3]+ [5, 9]= [6, 12]. But in real life problems, the operation result can be different, e.g. equal to [4, 7].
Andrzej Piegat, Marcin Plucinski
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Granular computational homogenisation of composite structures with imprecise parameters
The paper presents the formulation of a granular computational homogenisation problem and the proposition of a method to solve it, which enables multiscale analysis of materials with uncertain microstructure parameters.
W. Beluch, M. Hatłas, J. Ptaszny
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