A New Similarity Function for Generalized Trapezoidal Fuzzy Numbers

Vicente, Eloy; Mateos, Alfonso; Jiménez, Antonio

doi:10.1007/978-3-642-38658-9_36

Cited by 17 publications

(18 citation statements)

References 13 publications

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“…However, the above similarity functions are unsuitable for use in TF [0,1]. We use the function proposed in [22,23], which considers another parameter consisting of the ratio between the common area and the joint area under the membership functions of trapezoidal fuzzy numbers [22,23].…”

Section: Similarity Functionmentioning

confidence: 99%

Risk analysis in information systems: A fuzzification of the MAGERIT methodology

Vicente

Mateos

Jiménez-Martín

2014

Knowledge-Based Systems

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Several methodologies based on ISO/IEC 27000 international standard have been developed to deal with risk analysis in information systems (IS). These methodologies do not, however, consider imprecise val-uations, but use precise values on different, usually percentage, scales.We propose an extension of the MAGERIT methodology based on classical fuzzy computational models. A linguistic term scale is used to represent asset values, their dependencies and frequency and asset deg-radation associated with threats. Computations are based on trapezoidal fuzzy numbers associated with linguistic terms. A similarity function is used to associate a linguistic term on the previously defined scale to the trapezoidal fuzzy numbers resulting from computations. Finally, regarding the selection of preven-tive safeguards to reduce risks in IS, we propose a dynamic programming-based method that incorpo-rates simulated annealing to tackle optimizations problems with the aim of minimizing costs while keeping the risk at acceptable levels.An example of an administrative unit using in-house and third-party information systems internally and to provide public information services is used to illustrate the methodology.

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Section: Similarity Functionmentioning

confidence: 99%

Risk analysis in information systems: A fuzzification of the MAGERIT methodology

Vicente

Mateos

Jiménez-Martín

2014

Knowledge-Based Systems

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“…The arithmetic proposed in (Xu et al, 2010) on TF [0, 1] is used to make computations. The resulting fuzzy number from such a computation is usually translated into a linguistic term in the previously defined scale by means of a similarity function (Vicente et al, 2013).…”

Section: A Fuzzy Mcda Approachmentioning

confidence: 99%

“…Methods for ranking fuzzy numbers are classified into four major classes according to Chen and Hwang, 1992. In this case, we propose to use a method based on a similarity function (Vicente et al, 2013) in which the similarity of the fuzzy overall utility of each remediation alternative is computed regarding both the ideal (1, 1, 1, 1) and anti-ideal point (0, 0, 0, 0). The best-ranked alternative will be the most similar to the ideal point and, at the same time, the least similar to the anti-ideal point.…”

Section: Fuzzy Evaluation Of Remediation Alternativesmentioning

confidence: 99%

Fuzzy MCDA for remediation of a Uranium tailing

Pérez-Sánchez¹,

Jiménez²,

Mateos³

et al. 2014

Uranium - Past and Future Challenges

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Abstract. The Pridneprovsky Chemical Plant was a largest uranium processing enterprises, producing a huge amount of uranium residues. The Zapadnoe tailings site contains the majority of these residues. We propose a theoretical framework based on Multi-Criteria Decision Analysis and fuzzy logic to analyse different remediation alternatives for the Zapadnoe tailings, in which potentially conflicting economic, radiological, social and environmental objectives are simultaneously taken into account. An objective hierarchy is built that includes all the relevant aspects. Fuzzy rather than precise values are proposed for use to evaluate remediation alternatives against the different criteria and to quantify preferences, such as the weights representing the relative importance of criteria identified in the objective hierarchy. Finally, it is proposed that remediation alternatives should be evaluated by means of a fuzzy additive multi-attribute utility function and ranked on the basis of the respective trapezoidal fuzzy number representing their overall utility.

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“…Thus, we consider the set of trapezoidal fuzzy numbers with support in [0,1], TF[0,1], i.e., (Chen, 1996;Chen and Chen, 2003;Chen and Chen, 2009;Vicente et al, 2013b). Note that R is a subset of TF[0,1] if we consider the injection (Vicente et al 2013a) …”

Section: Selection Of Safeguardsmentioning

confidence: 99%

“…In (Vicente et al 2013b) a new similarity function was proposed on the basis of the geometric distance between both fuzzy numbers, the distance between their centroids and/or the ratio between the common area and the joint area under the membership functions.…”

Section: Confidentialitymentioning

confidence: 99%

A Fuzzy Approach based on Dynamic Programming and Metaheuristics for Selecting Safeguards for Risk Management for Information Systems

Vicente

Mateos

Jiménez-Martín

2014

Proceedings of the 3rd International Conference on Operations Research and Enterprise Systems

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Abstract:In this paper we focus on the selection of safeguards in a fuzzy risk analysis and management methodology for information systems (IS). Assets are connected by dependency relationships, and a failure of one asset may affect other assets. After computing impact and risk indicators associated with previously identified threats, we identify and apply safeguards to reduce risks in the IS by minimizing the transmission probabilities of failures throughout the asset network. However, as safeguards have associated costs, the aim is to select the safeguards that minimize costs while keeping the risk within acceptable levels. To do this, we propose a dynamic programming-based method that incorporates simulated annealing to tackle optimizations problems.

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A New Similarity Function for Generalized Trapezoidal Fuzzy Numbers

Cited by 17 publications

References 13 publications

Risk analysis in information systems: A fuzzification of the MAGERIT methodology

Risk analysis in information systems: A fuzzification of the MAGERIT methodology

Fuzzy MCDA for remediation of a Uranium tailing

A Fuzzy Approach based on Dynamic Programming and Metaheuristics for Selecting Safeguards for Risk Management for Information Systems

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