A parametric approach to description of linguistic values of variables and hedges

Kuzmin, Vladimir

doi:10.1016/0165-0114(81)90078-6

Cited by 49 publications

(11 citation statements)

References 12 publications

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“…The methodology for this FLP has references to various works by [2,9,17,23,29,31]. The approach proposed here is based on an interaction with the decision maker, the implementer and the analyst in order to find a compromised satisfactory solution for a fuzzy linear programming problem (FLP).…”

Section: Methodology Of Fps Problemmentioning

confidence: 99%

“…The modified S-curve membership function [9,16,23] can be applied and tested for its suitability through an applied problem. In this problem, the S-curve membership function was applied to reach a decision when all three coefficients, such as objective function, technical coefficients and resources, of mix product selection (FPS) were fuzzy.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Fuzzy Linear Programming: A Modern Tool for Decision Making

Vasant¹,

Nagarajan²,

Yaacob³

2005

Computational Intelligence for Modelling and Prediction

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Abstract:In this paper, the S-curve membership function methodology is used in a real life industrial problem of mix product selection. This problem occurs in the chocolate manufacturing industry whereby a decision maker, analyst and implementer play important roles in making decisions in an uncertain environment. As analysts, we try to find a solution with a higher level of satisfaction for the decision maker to make a final decision. This problem of mix product selection is considered because all the coefficients such as objective, technical and resource variables are fuzzy. This is considered as one of sufficiently large problem involving 29 constraints and 8 variables. A decision maker can identify which vagueness ( ) is suitable for achieving satisfactory optimal revenue. The decision maker can also suggest to the analyst some possible and practicable changes in fuzzy intervals for improving the satisfactory revenue. This interactive process has to go on among the analyst, the decision maker and the implementer until an optimum satisfactory solution is achieved and implemented.

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Section: Methodology Of Fps Problemmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Fuzzy Linear Programming: A Modern Tool for Decision Making

Vasant¹,

Nagarajan²,

Yaacob³

2005

Computational Intelligence for Modelling and Prediction

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show abstract

“…Since x ± ijk opt are interval numbers, a parametric approach that improves Kuzmin's methods (Kuzmin, 1981) is proposed to determine membership functions for interval terms in X Figure 5. Bi-linear membership function and interval membership degree.…”

Section: V={(very Low) (Low) (Medium) (High) (Very High)}mentioning

confidence: 99%

Incorporation of Inexact Dynamic Optimization with Fuzzy Relation Analysis for Integrated Climate Change Impact Study

Huang

Cohen

Yin

et al. 1996

Journal of Environmental Management

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“…Dubois and Prade [10] treated systems of linear equations with ambiguous coefficients suggesting the possible application to fuzzy mathematical programming for the first time. A remarkable development is done by Kuzmin [11]. He introduced four inequality indices between fuzzy numbers based on the possibility theory into mathematical programming problems with fuzzy coefficients.…”

Section: Introductionmentioning

confidence: 99%