A fuzzy filtering method applied to power distribution planning

doi:10.1016/S0165-0114(98)00202-4

Fuzzy Sets and Systems

Volume 102, Issue 1, 16 February 1999, Pages 53-58

https://doi.org/10.1016/S0165-0114(98)00202-4 Get rights and content

Abstract

Preliminary filtering of a large decision set can be an important issue in multicriteria problems. Besides eliminating dominated solutions, it is usual to define aspiration levels in some or all the attributes, and then eliminate all the solutions that do not respect the imposed limits. This procedure may lead to the undesired elimination of possibly interesting solutions, due to the irrelevant violation of a specified limit.

In this paper, a new method is presented that overcomes this problem by defining the concept of accepted solution as a fuzzy set and calculating a degree of acceptance for each solution that takes values in the interval [0,1] instead of having only the crisp {0, 1} values. The method also deals with fuzzy attributes, and has an additional feature of advising the decision maker regarding the definition of the acceptance level that leads to selection or exclusion of an alternative.

To illustrate the application of the fuzzy filtering method (FFM), a planning problem in the area of power distribution systems is used. The example shows how FFM can be used to reduce an initial set of 48 plans, according to the expressed aspiration levels.

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There are more references available in the full text version of this article.

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The aspiration-level refers to the level of objective that the decision maker (DM) desires to achieve. MADM problems considering aspiration-levels arise in many real-world situations (Besharati, Azarm, & Kannan, 2006; Liao, 2011; Matos, 1999; Prato, 1999; Yan, Huynh, Murai, & Nakamori, 2008). For example, when selecting a design alternative for a power electronic device, the DM may provide expectations or requirements on attributes such as manufacturing cost and junction temperature (Besharati et al., 2006), i.e., manufacturing cost is less than $70 and junction temperature remains less than 130°C.
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A fuzzy filtering method applied to power distribution planning

Abstract

A fuzzy relative of the ISODATA process and its use in detecting compact well-separated clusters

J. Cybernet.

Decision-aid in multicriteria selection of projects (in Portuguese)

Electrical power distribution systems planning using fuzzy mathematical programming

Electric distribution system planning with fuzzy loads

Internat. Trans. Oper. Res.