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.
Bogdana Stanojević +2 more
doaj +4 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 +3 more sources
A tribute to Zadeh’s extension principle
Scientia Iranica, 2011 In this paper, we highlight one of the brightest concepts launched by L. Zadeh, namely, the extension principle. Due to this principle, every one-to-one correspondence and, more generally, every one-to-many correspondence can be extended to fuzzy sets, i.
E E Kerre
exaly +3 more sources
An extension of the contraction principle [PDF]
Journal of Theoretical Probability, 2004 The concept of quasi-continuity and the new concept of almost compactness for a function are the basis for the extension of the contraction principle in large deviations presented here.
Garcia, Jorge
core +4 more sources
A Note on the Extension Principle
Journal of Mathematical Analysis and Applications, 2000 It is shown that a function obtained by Zadeh's extension principle preserves similarity. As a consequence, if using the extension principle for building models of systems, the exact description of phenomena by means of fuzzy sets does not ...
Bělohlávek, Radim
core +3 more sources
Multivariate Extension Principle and Algebraic Operations of Intuitionistic Fuzzy Sets
Journal of Applied Mathematics, 2012 This paper mainly focuses on multivariate extension of the extension principle of IFSs. Based on the Cartesian product over IFSs, the multivariate extension principle of IFSs is established.
Yonghong Shen, Wei Chen
doaj +2 more sources
Continuity of Fuzzified Functions Using the Generalized Extension Principle
Symmetry, 2017 To fuzzify the crisp functions, the extension principle has been widely used for performing this fuzzification. The purpose of this paper is to investigate the continuity of fuzzified function using the more generalized extension principle. The Hausdorff
Hsien-Chung Wu
exaly +2 more sources
Unique extension of the maximum entropy principle to phase coexistence in heat conduction
Physical Review Research, 2022 The maximum entropy principle determines the values of thermodynamic variables in thermally isolated equilibrium systems. This paper extends the principle to a variational principle that applies to liquid–gas coexistence in heat conduction.
Naoko Nakagawa, Shin-ichi Sasa
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
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