Reinstatement of the Extension Principle in Approaching Mathematical Programming with Fuzzy Numbers
Mathematics, 2021 Optimization problems in the fuzzy environment are widely studied in the literature. We restrict our attention to mathematical programming problems with coefficients and/or decision variables expressed by fuzzy numbers.
Milan Stanojevic +2 more
exaly +3 more sources
Solving Fuzzy Fractional Differential Equations Using Zadeh's Extension Principle [PDF]
The Scientific World Journal, 2013 We study a fuzzy fractional differential equation (FFDE) and present its solution using Zadeh’s extension principle. The proposed study extends the case of fuzzy differential equations of integer order.
M. Z. Ahmad, M. K. Hasan, S. Abbasbandy
doaj +2 more sources
Solving fuzzy multiobjective linear bilevel programming problems based on the extension principle [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2021 Fuzzy multiobjective linear bilevel programming (FMOLBP) problems are studied in this paper. The existing methods replace one or some deterministic model(s) instead of the problem and solve the model(s).
A. Abbasi Molai
doaj +1 more source
Incorporating Fuzzy Logic in Harrod’s Economic Growth Model
Mathematics, 2021 This paper suggests the possibility of incorporating the methodology of fuzzy logic theory into Harrod’s economic growth model, a classic model of economic dynamics for studying the growth of a developing economy based on the assumption that an economy ...
Joan Carles Ferrer-Comalat +2 more
doaj +1 more source
Empiric Solutions to Full Fuzzy Linear Programming Problems Using the Generalized “min” Operator
Mathematics, 2023 Solving optimization problems in a fuzzy environment is an area widely addressed in the recent literature. De-fuzzification of data, construction of crisp more or less equivalent problems, unification of multiple objectives, and solving a single crisp ...
Bogdana Stanojević, Sorin Nǎdǎban
doaj +1 more source
Unitary extension principle on zero-dimensional locally compact groups [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2023 In this article, we obtain methods for constructing step tight frames on an arbitrary locally compact zero-dimensional group. To do this, we use the principle of unitary extension.
Lukomskii, Sergei Feodorovich +1 more
doaj +1 more source
A New Framework for Numerical Techniques for Fuzzy Nonlinear Equations
Axioms, 2023 This paper describes a computational method for solving the nonlinear equations with fuzzy input parameters that we encounter in engineering system analysis.
Fazlollah Abbasi +2 more
doaj +1 more source
A Fuzzy Economic Dynamic Model
Mathematics, 2021 In the study presented here, fuzzy logic was used to analyze the behavior of a model of economic dynamics that assumes income to be in equilibrium when it is composed of consumption and investment, that is, when savings and investment are equal.
Joan Carles Ferrer-Comalat +2 more
doaj +1 more source
New Arithmetic Operations of Non-Normal Fuzzy Sets Using Compatibility
Axioms, 2023 The new arithmetic operations of non-normal fuzzy sets are studied in this paper by using the extension principle and considering the general aggregation function. Usually, the aggregation functions are taken to be the minimum function or t-norms.
Hsien-Chung Wu
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Fuzzy reliability‐redundancy allocation problem of the overspeed protection system
Engineering Reports, 2020 System reliability is defined as the probability of satisfactory performance of a system under stated conditions for a specified period of time. According to this definition, four parameters, including probability, satisfactory performance, specific ...
Sajjad Taghiyeh +3 more
doaj +1 more source