Search Results - "Piegat Andrzej"

A Realistic Tolerant Solution of a System of Interval Linear Equations with the Use of Multidimensional Interval Arithmetic by Piegat, Andrzej, Pluciński, Marcin

“…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…”
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Fuzzy Number Addition with the Application of Horizontal Membership Functions by Piegat, Andrzej, Pluciński, Marcin

“…The paper presents addition of fuzzy numbers realised with the application of the multidimensional RDM arithmetic and horizontal membership functions (MFs)…”
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Is an interval the right result of arithmetic operations on intervals? by Piegat, Andrzej, Landowski, Marek

“…For many scientists interval arithmetic (IA, I arithmetic) seems to be easy and simple. However, this is not true. Interval arithmetic is complicated. This is…”
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Realistic Optimal Tolerant Solution of the Quadratic Interval Equation and Determining the Optimal Control Decision on the Example of Plant Fertilization by Piegat, Andrzej, Pluciński, Marcin

“…In scientific journals, it is increasingly common to find articles presenting methods for solving problems not based on idealistic mathematical models…”
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A Decomposition Approach to Type 2 Interval Arithmetic by Piegat, Andrzej, Dobryakova, Larisa

“…The classic interval has precise borders . Therefore, it can be called a type 1 interval. Because of great practical importance of such interval data, several…”
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Multidimensional Type 2 Epistemic Fuzzy Arithmetic Based on the Body Definition of the Type 2 Fuzzy Set by Piegat, Andrzej, Landowski, Marek

“…The article presents a multidimensional type 2 epistemic fuzzy arithmetic (MT2EF-arithmetic) based on the new body definition of fuzzy set type 2 (T2FS), which…”
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The Optimal Tolerance Solution of the Basic Interval Linear Equation and the Explanation of the Lodwick’s Anomaly by Piegat, Andrzej, Pluciński, Marcin

“…Determining the tolerance solution (TS) of interval linear systems (ILSs) has been a task under consideration for many years. It seems, however, that this task…”
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Computing with words with the use of inverse RDM models of membership functions by Piegat, Andrzej, Pluciński, Marcin

“…Computing with words is a way to artificial, human-like thinking. The paper shows some new possibilities of solving difficult problems of computing with words…”
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Which Alternative for Solving Dual Fuzzy Nonlinear Equations Is More Precise? by Kołodziejczyk, Joanna, Piegat, Andrzej, Sałabun, Wojciech

“…To answer the question stated in the title, we present and compare two approaches: first, a standard approach for solving dual fuzzy nonlinear systems…”
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Some Advantages of the RDM-arithmetic of Intervally-Precisiated Values by Piegat, Andrzej, Plucinski, Marcin

“…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…”
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A fuzzy interval model for assessing patient status and treatment effectiveness using blood morphology by Wilinski, Antoni, Tadeusiewicz, Ryszard, Piegat, Andrzej, Bocewicz, Grzegorz, Skorzak, Adam, Dabkowski, Krzysztof, Smereczynski, Andrzej, Starzynska, Teresa

“…This study explores the generalization of heterogeneous medical data for monitoring anomalies and changes over time using fuzzy intervals. The most important…”
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Optimal estimator of hypothesis probability for data mining problems with small samples by Piegat Andrzej, Landowski Marek

“…The paper presents a new (to the best of the authors’ knowledge) estimator of probability called the “Eph √ 2 completeness estimator” along with a theoretical…”
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Horizontal Membership Function and Examples of its Applications by Piegat, Andrzej, Landowski, Marek

“…The paper introduces horizontal membership functions (HMFs) which define a fuzzy set not in form of commonly used vertical membership functions of type μ  =  f…”
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Identification of a Multicriteria Decision-Making Model Using the Characteristic Objects Method by Piegat, Andrzej, Sałabun, Wojciech

“…This paper presents a new, nonlinear, multicriteria, decision-making method: the characteristic objects (COMET). This approach, which can be characterized as a…”
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Comparative analysis of MCDM methods for the assessment of mortality in patients with acute coronary syndrome by Sałabun, Wojciech, Piegat, Andrzej

“…Multi-criteria decision-making (MCDM) methods are commonly used in many fields of research, e.g., engineering and manufacturing systems, water resources…”
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The realistic tolerance solution to a system of linear fuzzy and interval equations using the shifted membership function method by Piegat, Andrzej, Pluciński, Marcin

“…Despite many years of research on fuzzy and interval equation systems, there are still great difficulties in solving them. The reason for this is the high…”
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Solution of the basic tolerant interval and fuzzy equation using Shifted Membership Function method with examples of applications by Piegat, Andrzej, Pluciński, Marcin

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The differences between the horizontal membership function used in multidimensional fuzzy arithmetic and the inverse membership function used in gradual arithmetic by Piegat, Andrzej, Pluciński, Marcin

“…In the last few years, the number of applications of the multidimensional fuzzy arithmetic (MFA) and the multidimensional interval arithmetic is expanding…”
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Solving different practical granular problems under the same system of equations: Discussion with the paper Kreinovich V. (Granular Computing 1(3):171–179, 2016) by Piegat, Andrzej, Landowski, Marek

“…This paper contains discussion about the paper of Kreinovich (Granular Computing 1(3):171–179, 2016 ) in which the author suggests the thesis that in…”
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Cardinality approach to fuzzy number arithmetic by Piegat, A.

“…To solve problems from the area of computing with words, arithmetic operations often have to be carried out on fuzzy numbers. The author proposes to call fuzzy…”
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