61,779 research outputs found
Lexicographic Methods for Fuzzy Linear Programming
Fuzzy Linear Programming (FLP) has addressed the increasing complexity of real-world
decision-making problems that arise in uncertain and ever-changing environments since its
introduction in the 1970s. Built upon the Fuzzy Sets theory and classical Linear Programming
(LP) theory, FLP encompasses an extensive area of theoretical research and algorithmic development.
Unlike classical LP, there is not a unique model for the FLP problem, since fuzziness can
appear in the model components in different ways. Hence, despite fifty years of research,
new formulations of FLP problems and solution methods are still being proposed. Among the
existing formulations, those using fuzzy numbers (FNs) as parameters and/or decision variables
for handling inexactness and vagueness in data have experienced a remarkable development in
recent years. Here, a long-standing issue has been how to deal with FN-valued objective functions
and with constraints whose left- and right-hand sides are FNs. The main objective of this paper is
to present an updated review of advances in this particular area. Consequently, the paper briefly
examines well-known models and methods for FLP, and expands on methods for fuzzy single- and
multi-objective LP that use lexicographic criteria for ranking FNs. A lexicographic approach to the
fuzzy linear assignment (FLA) problem is discussed in detail due to the theoretical and practical
relevance. For this case, computer codes are provided that can be used to reproduce results presented
in the paper and for practical applications. The paper demonstrates that FLP that is focused on
lexicographic methods is an active area with promising research lines and practical implications.Spanish Ministry of Economy and CompetitivenessEuropean Union (EU)
TIN2017-86647-
Penghasilan manual rjngkas penggunaan alat Total Station Sokkia Set5f dan Perisian Sdr Mapping & Design untuk automasi ukur topografi
Projek ini dilaksanakan untuk menghasilkan manual ringkas penggunaan alat Total Station Sokkia SET5F dan Perisian SDR Mapping & Design dalam menghasilkan pelan topografi yang lengkap mengikut konsep field to finish. Manual telah dihasilkan dalam dua bentuk iaitu buku dan CD-ROM. Manual ini telah dinilai berdasarkan data yang diperolehi daripada 7 orang responden melalui kaedah Borang Penilaian Manual. Analisis data dilakukan menggunakan perisian SPSS versi 11.0. Hasil analisis skor min menunjukkan kesemua responden bersetuju bahawa manual dalam bentuk buku ini menarik Min ( M ) ^ ^ dan Sisihan Piawai (SD) = .535 tetapi kurang interaktif (M) = 2.29 dan (SD) = 0.488. Berbanding dengan manual dalam format CD-ROM yang mencatat nilai (M) = 3.57 dan (SD) = 0.535 semua responden bersetuju bahawa manual ini mesra pengguna dan lebih interakti
An Interactive Fuzzy Satisficing Method for Fuzzy Random Multiobjective 0-1 Programming Problems through Probability Maximization Using Possibility
In this paper, we focus on multiobjective 0-1 programming problems under the situation where stochastic uncertainty and vagueness exist at the same time. We formulate them as
fuzzy random multiobjective 0-1 programming problems where coefficients of objective functions are fuzzy random variables. For the formulated problem, we propose an interactive fuzzy satisficing method through probability maximization using of possibility
Strict Solution Method for Linear Programming Problem with Ellipsoidal Distributions under Fuzziness
This paper considers a linear programming problem with ellipsoidal distributions including fuzziness. Since this problem is not well-defined due to randomness and fuzziness, it is hard to solve it directly. Therefore, introducing chance constraints, fuzzy goals and possibility measures, the proposed model is transformed into the deterministic equivalent problems. Furthermore, since it is difficult to solve the main problem analytically and efficiently due to nonlinear programming, the solution method is constructed introducing an appropriate parameter and performing the equivalent transformations
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Linear, integer separable and fuzzy programming problems: a united approach towards automatic reformulation
For mathematical programming (MP) to have greater impact as a
decision tool, MP software systems must offer suitable support in
terms of model communication and modelling techniques. In this
paper modelling techniques that allow logical restrictions to be
modelled in integer programming terms are described and their
implications discussed. In addition it is demonstrated that many
classes of non-linearities which are not variable separable may be
after suitable algebraic manipulation put in a variable separable
form. The methods of reformulating the fuzzy linear programming
problem as a Max-Min problem is also introduced. It is shown that
analysis of bounds plays a key role in the following four important
contexts: model reduction, reformulation of logical restrictions
as 0-1 mixed integer programs, reformulation of nonlinear programs
as variable separable programs and reformulation of fuzzy linear
programs. It is observed that as well as incorporating an
interface between the modeller and the optimiser there is a need to
make available to the modeller software facilities which support the
model reformulation techniques described here
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