An interactive fuzzy programming system

Werners, Brigitte

doi:10.1016/0165-0114(87)90105-9

Cited by 164 publications

(96 citation statements)

References 10 publications

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“…Although the results obtained from three fuzzy mathematical programming models are different, as the viewpoint of these fuzzy methods are different and variability in values of outcomes are seen, but the trend of outcome in all of the fuzzy mathematical approaches (i.e., Jiménez et al (2007), Werners (1987), and Tan and Cao (2005)) support a single truth about performance of DDM approach in comparison with CDM approach. This truth is plotted in Figure 4.…”

Section: Computational Resultsmentioning

confidence: 97%

“…The Werners (1987) method calculated the membership function of objective function and constraints of fuzzy mathematical programming. Then, using these membership functions and the maxmin operator of bellman and Zadeh converted the fuzzy mathematical programming into the associated crisp ma- Step 1 2578 Vol 15, No 2, June 2016, pp.156-172, © 2016 Iteration 1 thematical model.…”

Section: Computational Resultsmentioning

confidence: 99%

“…4.2 Werners' Approach (Werners, 1987) Werners (1987) introduced an interactive general system which supports a decision maker in solving programming models with fuzzy constraints and crisp goals. In the Werner's approach fuzzy constraints were converted to crisp constraints by linear membership functions.…”

Section: Parametersmentioning

confidence: 99%

“…In the Werner's approach fuzzy constraints were converted to crisp constraints by linear membership functions. More details can be found in Werners (1987).…”

Section: Parametersmentioning

confidence: 99%

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Uncertain Centralized/Decentralized Production-Distribution Planning Problem in Multi-Product Supply Chains: Fuzzy Mathematical Optimization Approaches

Khalili‐Damghani¹,

Ghasemi²

2016

Industrial Engineering and Management Systems

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Complex and uncertain issues in supply chain result in integrated decision making processes in supply chains. So decentralized (distributed) decision making (DDM) approach is considered as a crucial stage in supply chain planning. In this paper, an uncertain DDM through coordination mechanism is addressed for a multi-product supply chain planning problem. The main concern of this study is comparison of DDM approach with centralized decision making (CDM) approach while some parameters of decision making are assumed to be uncertain. The uncertain DDM problem is modeled through fuzzy mathematical programming in which products' demands are assumed to be uncertain and modeled using fuzzy sets. Moreover, a CDM approach is customized and developed in presence of fuzzy parameters. Both approaches are solved using three fuzzy mathematical optimization methods. Hence, the contribution of this paper can be summarized as follows: 1) proposing a DDM approach for a multi-product supply chain planning problem; 2) Introducing a coordination mechanism in the proposed DDM approach in order to utilize the benefits of a CDM approach while using DDM approach; 3) Modeling the aforementioned problem through fuzzy mathematical programming; 4) Comparing the performance of proposed DDM and a customized uncertain CDM approach on multiproduct supply chain planning; 5) Applying three fuzzy mathematical optimization methods in order to address and compare the performance of both DDM and CDM approaches. The results of these fuzzy optimization methods are compared. Computational results illustrate that the proposed DDM approach closely approximates the optimal solutions generated by the CDM approach while the manufacturer's and retailers' decisions are optimized through a coordination mechanism making lasting relationship. .

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Section: Computational Resultsmentioning

confidence: 97%

Section: Computational Resultsmentioning

confidence: 99%

Section: Parametersmentioning

confidence: 99%

“…In the Werner's approach fuzzy constraints were converted to crisp constraints by linear membership functions. More details can be found in Werners (1987).…”

Section: Parametersmentioning

confidence: 99%

See 2 more Smart Citations

Uncertain Centralized/Decentralized Production-Distribution Planning Problem in Multi-Product Supply Chains: Fuzzy Mathematical Optimization Approaches

Khalili‐Damghani¹,

Ghasemi²

2016

Industrial Engineering and Management Systems

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show abstract

“…These operators consider the effect of all criteria equally. One such operator is the Werners' operator [14] …”

Section: Fuzzy Logic and Multi-criteria Decision Makingmentioning

confidence: 99%

Fuzzy STRIDE Model based on Werners Aggregation Operator for Computer Network Threat Modelling

Khan¹

2017

IJCDS

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Security has become a significant concern in proper functioning of modern network systems. To prevent and mitigate a system from attacks, an important issue is realization of the possible damage that different threats could cause to a network system. Keeping this issue in view, this paper proposes modeling of threats and their risk assessment. The STRIDE threat assessment model covers numerous existing threats that are related to all security properties necessary for a secure network. A STRIDE based strategy has been proposed which takes the number and types of attacks as input and applies a fuzzy logic based threat assessment approach to assess the level of attack. The presented work uses a fuzzy operator, namely, Werners operator and a decision-making approach based on a fuzzy rule. KDD 99 dataset was used to evaluate the proposed fuzzy STRIDE model. Empirical results indicate that the proposed approach was able to identify the combined threat level of multiple types of attacks.

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Fuzzy Linear Programming Approach to Multi-mode Distribution Planning Problem

Bilgen

Özkarahan

2006

Lecture Notes in Computer Science

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In this study we address the multi-product, multi-period, multi-mode distribution planning problem. The objective of this paper is to present a real distribution planning problem in which rail/road transportation is integrated within a whole focus on supply chain management. However, in real world problems, practical situations are often not well-defined and thus can not be described precisely. Therefore fuzzy mathematical programming becomes a valuable extension of traditional crisp optimization models. This paper also illustrates how a fuzzy linear programming approach be used to model and solve the multi-mode transportation problem.

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An interactive fuzzy programming system

Cited by 164 publications

References 10 publications

Uncertain Centralized/Decentralized Production-Distribution Planning Problem in Multi-Product Supply Chains: Fuzzy Mathematical Optimization Approaches

Uncertain Centralized/Decentralized Production-Distribution Planning Problem in Multi-Product Supply Chains: Fuzzy Mathematical Optimization Approaches

Fuzzy STRIDE Model based on Werners Aggregation Operator for Computer Network Threat Modelling

Fuzzy Linear Programming Approach to Multi-mode Distribution Planning Problem

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