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A new perspective on traffic control management using triangular interval type-2 fuzzy sets and interval neutrosophic sets [PDF]

open access: yesOperations Research Perspectives, 2019
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
doaj   +3 more sources

Interval Arithmetic and Standardization [PDF]

open access: yes, 2008
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.

openaire   +5 more sources

Interval arithmetic in calculations

open access: yesOpen Engineering, 2016
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
doaj   +2 more sources

Automatic differentiation of uncertainties: an interval computational differentiation for first and higher derivatives with implementation [PDF]

open access: yesPeerJ Computer Science, 2023
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
doaj   +2 more sources

Using interval arithmetic for providing a MADM approach [PDF]

open access: yesJournal of Fuzzy Extension and Applications, 2020
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
doaj   +1 more source

Realistic Optimal Tolerant Solution of the Quadratic Interval Equation and Determining the Optimal Control Decision on the Example of Plant Fertilization

open access: yesApplied Sciences, 2022
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
doaj   +1 more source

Interval Ranges of Fuzzy Sets Induced by Arithmetic Operations Using Gradual Numbers

open access: yesMathematics, 2021
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
doaj   +1 more source

A Realistic Tolerant Solution of a System of Interval Linear Equations with the Use of Multidimensional Interval Arithmetic

open access: yesInternational Journal of Applied Mathematics and Computer Science, 2023
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
doaj   +1 more source

Some Advantages of the RDM-arithmetic of Intervally-Precisiated Values [PDF]

open access: yesInternational Journal of Computational Intelligence Systems, 2015
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
doaj   +1 more source

Granular computational homogenisation of composite structures with imprecise parameters

open access: yesArchives of Mechanics, 2023
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
doaj   +1 more source

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