Method for solving quasi-concave and non-concave fuzzy multi-objective programming problems

Yu, Chian Son; Li, Hanlin

doi:10.1016/s0165-0114(99)00163-3

Cited by 8 publications

(2 citation statements)

References 14 publications

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“…The purpose of this work is to illustrate and verify the analytical method developed by the authors [10][11][12] for calculation of circular plates. For this purpose, a bending calculation of annular solid plates with specific laws of bedding coefficient change is performed, and the calculation results of the author's method are compared with the corresponding calculations using the LIRA-SAP PC [13].…”

Section: Recent Research Analysismentioning

confidence: 99%

Axisymmetric Bending of Circular Plates on a Variable Elastic Base

Surianinov,

Krutii,

Klymenko

et al. 2023

Construction Technologies and Architecture

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An algorithm of direct integration method for calculation of annular plates lying on elastic Winkler base with variable bedding coefficient under the action of transverse load is proposed. To verify the results obtained by the proposed method, the finite element method implemented in PC LIRA-SAPR is used. Two examples of calculations are considered. Analysis of the results shows that the values of deflections practically coincide in calculations of a circular plate by the author's method and by the finite-element method, and discrepancy between the values of bending moments reaches 9.3 %. Moreover, the discrepancy in deflections appears only in the fourth (and sometimes even in the fifth) decimal place. It is noted that the method of direct integration has demonstrated very high accuracy in solving numerous problems of deformable solid mechanics that have exact solutions. The discrepancy in the values of bending moments obtained here is related to the semi-automatic breakdown of the finite-element mesh in PC LIRA-SAPR. This statement is based on the fact that when the mesh is thickened in the circumferential direction, the results obtained by the two methods in determining the radial and circumferential bending moments converge considerably.

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Section: Recent Research Analysismentioning

confidence: 99%

Axisymmetric Bending of Circular Plates on a Variable Elastic Base

Surianinov,

Krutii,

Klymenko

et al. 2023

Construction Technologies and Architecture

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“…Within related studies, a number of different types of MFs have been proposed to describe fuzzy sets. These include triangular functions, trapezoidal functions, and also whether they should be linear = non-linear and possibly piecewise (see Runkler & Bezdek, 1999;Roa-Sepulveda & Herrera, 2000;Yu & Li, 2001). Here, linear piecewise (triangular) MFs are utilized; their general functional form is given by…”

Section: Basic Concepts Of Fuzzy Setsmentioning

confidence: 99%

The application of a fuzzy‐rule‐based system in an exposition of the antecedents of sedge warbler song flight

2004

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The utilization of a fuzzy aspect within data analysis attempts to move from a quantitative to a more qualitative investigative environment. As such, this may allow the more non-quantitative researchers results they can use, based on sets of linguistic terms. In this paper an inductive fuzzy decision tree approach is utilized to construct a fuzzy-rule-based system for the first time in a biological setting. The specific biological problem considered attempts to identify the antecedents (conditions in the fuzzy decision rules) which characterize the length of song flight of the male sedge warbler when attempting to attract a mate. Hence, for a non-quantitative investigator the resultant set of fuzzy rules allows an insight into the linguistic interpretation on the relationship between associated characteristics and the respective song flight duration.

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Fuzzy Multiobjective LP

Buckley

Jowers

2007

Monte Carlo Methods in Fuzzy Optimization

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Method for solving quasi-concave and non-concave fuzzy multi-objective programming problems

Cited by 8 publications

References 14 publications

Axisymmetric Bending of Circular Plates on a Variable Elastic Base

Axisymmetric Bending of Circular Plates on a Variable Elastic Base

The application of a fuzzy‐rule‐based system in an exposition of the antecedents of sedge warbler song flight

Fuzzy Multiobjective LP

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