On a canonical representation of fuzzy numbers

Delgado, Miguel; Vila, M. A.; Voxman, William

doi:10.1016/s0165-0114(96)00144-3

Cited by 308 publications

(160 citation statements)

References 21 publications

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“…But, in this case, the modal value (the core with height 1) of the fuzzy numbers is lost. In some works such as [1,3,13,15,16], the authors have tried to solve an optimization problem to obtain a trapezoidal fuzzy number as a nearest approximation. Recently, some works have been done on approximation of a fuzzy number [4,[6][7][8][9]11] by defining distance functions.…”

Section: Introductionmentioning

confidence: 99%

Fuzzy semi-numbers and a distance on them with a case study in medicine

2018

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In this paper, we present the novel concept of fuzzy semi-numbers. Then, a method for assigning distance between every pair of fuzzy semi-numbers is given. Moreover, it is shown that this distance is a metric on the set of all trapezoidal fuzzy semi-numbers with the same height and is a pseudo-metric on the set of all fuzzy semi-numbers. Also, by utilizing this distance, we propose an approximation of a fuzzy semi-number with given height and apply this approximation method in a medical case study.

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Section: Introductionmentioning

confidence: 99%

Fuzzy semi-numbers and a distance on them with a case study in medicine

2018

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“…We extend this concept by defining [25,26]). Then we introduce the following extended version of the similarity (13.1)…”

Section: More In General If the (Continuous) Fuzzy Number A Is Charamentioning

confidence: 99%

Rule Base Reduction Using Conflicting and Reinforcement Measures

Anzilli

Giove

2017

Multidisciplinary Approaches to Neural Computing

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“…After this representation, the comparing technique is utilized [27] by calculating value and ambiguous for an interval number. In this case, the value (V) and the ambiguous (A) of an interval number is the same as http://www.ispacs.com/journals/acte/2014/acte-00171/ International Scientific Publications and Consulting Services the midpoint and half-width of it, as mentioned above.…”

Section: Phase 3: Project Risk Assessmentmentioning

confidence: 99%

An integrated approach for risk assessment in port projects

Mousavi

Hashemi²,

Mojtahedi³

2014

Advanced Computational Techniques in Electromagnetics

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Port risk management is utilized to describe a sequence of the analysis and management activities focused on creating specific responses to inherent risks in port projects. Risk assessment is taken into account in the projects; however, it is still comparatively neglected for the assessment process with non-parametric resampling techniques and interval analysis. The required data and experts' judgments in developing countries are often small. Hence, traditional approaches cannot assist such problems remarkably. An integrated approach is proposed in this paper for risk assessment in port projects for the use of the bootstrap and interval computations. In an application example, the proposed approach is investigated in detail. Finally, the traditional and proposed approaches are compared.

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On a canonical representation of fuzzy numbers

Cited by 308 publications

References 21 publications

Fuzzy semi-numbers and a distance on them with a case study in medicine

Fuzzy semi-numbers and a distance on them with a case study in medicine

Rule Base Reduction Using Conflicting and Reinforcement Measures

An integrated approach for risk assessment in port projects

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