Reasoning with Non-Numeric Linguistic Variables

Williams, John D.; Steele, Nigel; Robinson, Helen

doi:10.2498/cit.2002.04.02

Cited by 2 publications

(2 citation statements)

References 34 publications

(28 reference statements)

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“…This measure is represented as Sim mi,mj = e −D (mi,mj ) The measure Sim i,j defines the similarity between vectors m i , m j , and D(m i , m j ) is the Euclidian distance between vectors. This similarity measure is already used for fuzzy decision making in [Williams and Steele, 2002], for generalized distances. The other distances, such as the Jousselme distance proposed in [Jousselme and Maupin, 2012] can also be used.…”

Section: Similarity Measurementioning

confidence: 99%

A New Similarity Measure for Combining Conflicting Evidences

Salamat¹,

Akhter²

2015

csit

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In Dempster-Shafer (DS) theory, multiple information from the distinct information sources are combined to obtain a single Basic Probability Assignment (BPA) function. The well-known combination rule of Dempster-Shafer (DS) provides the weaker solution to the management of conflicting information at the normalization stage. Even this rule fails and provide the counter intuitive results while combining the highly conflicting information. This paper presents a new similarity measure for the combined average methods, where any distance measure between the body of information can be used. The numerical examples provide the promising and better intuitive results.

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Section: Similarity Measurementioning

confidence: 99%

A New Similarity Measure for Combining Conflicting Evidences

Salamat¹,

Akhter²

2015

csit

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“…But in the setting considered in this paper, it is necessary to "translate" them into relevant sets of real numbers with membership functions, i.e. fuzzy numbers (see, e.g., [30]). Then, these numbers, which have to satisfy some additional requirements about a monotonicity of their membership functions (like L-R numbers), are used during simulations in order to evaluate a fuzzy output, e.g., fuzzy maintenance costs.…”

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confidence: 99%

On simulation of maintenance costs for water distribution system with fuzzy parameters

Romaniuk

2016

EiN

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Article citation info: (*) Tekst artykułu w polskiej wersji językowej dostępny w elektronicznym wydaniu kwartalnika na stronie www.ein.org.pl IntroductionThe main aim of each water distribution system (WDS, water pipes network) is to deliver water of desirable quality and assumed quantity for customers. In order to meet these requirements, maintenance services, like repairs and replacements of broken or malfunctioned parts, are required.The literature devoted to the problems of simulation of the WDS behaviour and to analysis of its reliability is very rich (see, e.g, [3, 4, 7, 10, 11, 15, 17, 19, 25, 29] for a description of various approaches, and [16,28] for a more detailed review of methods and literature). Because of a necessary long-time horizon planning (e.g. 20 or even 50 years), an influence of a value of the money in the future on maintenance costs should be taken into account. Also such a problem is addressed in many papers.For example, in [20], the main aim is to estimate and validate various cost functions for different types of assets of a WDS, if their hydraulic (e.g., flow, pump head, pump power) and physical characteristics (e.g., volume, material, nominal diameter) are stored in a specially prepared data base. A method of a linear regression is used to model a dependency between various types of the costs (like an equipment cost) and the mentioned characteristics of a pipe (like a nominal diameter) based on data from several Portuguese urban water utilities. However, a method for a calculation of a present value of the total costs is not developed there in a more detailed way.Contrary to the previous paper, in [12], let's say, a "macro-management" approach for a WDS rehabilitation problem with a real long-time horizon is widely discussed. In this paper, both an economics and hydraulic capacity of a WDS is analysed, if a deterioration of a pipe follows the Hazen-Williams equation. The total costs are related RomAniuk m. on simulation of maintenance costs for water distribution system with fuzzy parameters. Eksploatacja i niezawodnoscmaintenance and Reliability 2016; 18 (4): 514-527, http://dx.doi.org/10.17531/ein.2016.4.6. to a rehabilitation of a pipe and some additional maintenance costs (mainly breakage repair costs). To model the breakage rate, the exponential dependency on an age of a pipe is assumed. The present value of the total costs is then calculated using a constant discount rate. The main aim of the whole procedure is to minimize the total costs associated with a rehabilitation, if some hydraulic constraints, necessary for a quality and a quantity of the supplied water, are preserved. As mentioned in this paper, an analysis period for such a procedure is typically equal to 30-60 years.There are also more specialized approaches to the problem of the costs estimation. For example, in [25], an optimisation procedure for a problem of minimising the costs is also described. In this case, the authors express the total cost of a renewal, risk and an unavailability of a WDS as one func...

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Reasoning with Non-Numeric Linguistic Variables

Cited by 2 publications

References 34 publications

A New Similarity Measure for Combining Conflicting Evidences

A New Similarity Measure for Combining Conflicting Evidences

On simulation of maintenance costs for water distribution system with fuzzy parameters

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