2015
DOI: 10.1515/cait-2015-0030
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A Study on the Approximation of Clustered Data to Parameterized Family of Fuzzy Membership Functions for the Induction of Fuzzy Decision Trees

Abstract: This paper investigates the Triangular, Trapezoidal and Gaussian approximation methods for the purpose of induction of Fuzzy Decision Trees (FDT).

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Cited by 13 publications
(10 citation statements)
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“…2 tq is the input data partition region width; u m tk is the k th sample; x k belongs to the t th membership value; m is the fuzzy degree introduced by the fuzzy clustering algorithm; q k is category value [12]. After AFCM clustering, the membership function of the corresponding characteristic parameter x k to R t is (x k ), then (x k ) can be expressed as follows [13]:…”
Section: Derivation Of Membership Function By Using Equipment Performmentioning
confidence: 99%
“…2 tq is the input data partition region width; u m tk is the k th sample; x k belongs to the t th membership value; m is the fuzzy degree introduced by the fuzzy clustering algorithm; q k is category value [12]. After AFCM clustering, the membership function of the corresponding characteristic parameter x k to R t is (x k ), then (x k ) can be expressed as follows [13]:…”
Section: Derivation Of Membership Function By Using Equipment Performmentioning
confidence: 99%
“…A new variant of firefly colony named fuzzy firefly colony approach is used to handle the uncertainties that could exist when fireflies makes a choice to choose next virtual machine for placement in current server. In this variant, the control strategies of the fireflies are established using fuzzy rules [41][42][43][44][45][46][47]. The fuzzy firefly colony algorithm follows same placement procedure given in Algorithm 1 except that step 17 in the procedure is modified to include fuzzy strategy and fuzzy probable strategy for choosing the next virtual machine for placement.…”
Section: Fuzzy Firefly Colony Approach For Server Consolidationmentioning
confidence: 99%
“…Liu et al (2013) built an AFS decision tree based on AFS theory and optimized the structure of the decision tree using a genetic algorithm. Narayanan et al (2015) used three fuzzy partitioning techniques, namely fuzzy C-means clustering, grid partitioning and subtractive clustering, to induce fuzzy decision trees. Wang et al (2015b) proposed a multi-label decision tree algorithm based on fuzzy rough sets, which it could tackle with symbolic, continuous and fuzzy data.…”
Section: Introductionmentioning
confidence: 99%
“…Moreover, based on the Map-Reduce programming model for generating both binary and multi-way trees from large data sets, a distributed fuzzy decision tree learning scheme was proposed by Segatori et al (2017). From the works of Bujnowski et al (2015), Chandra and Varghese (2008), Liu et al (2013), Manwani and Sastry (2012), Narayanan et al (2015, 2016), Segatori et al (2017), Umano et al (1994) and Wang et al (2000, 2015b), we know that the fuzzy decision trees can handle uncertainty and are easily accountable, but they cannot deal with the classification problem if the classification boundary is not parallel to the axis.…”
Section: Introductionmentioning
confidence: 99%
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