An Alternative Approach to Normal Parameter Reduction Algorithm for Soft Set Theory

Danjuma, Sani; Ismail, Maizatul Akmar; Herawan, Tutut

doi:10.1109/access.2016.2645179

Cited by 27 publications

(11 citation statements)

References 43 publications

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“…Combined with actual traffic data and road traffic conditions, according to expert experience, data and natural language are transformed into a fuzzy vector map of the domain of travel time. The parameter reduction theory of soft set is used to eliminate the redundant information and preserve the mapping features that can't be removed [16].…”

Section: Problem Formulationsmentioning

confidence: 99%

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Research on Expressway Travel Time Prediction Based on Exclusive Disjunctive Soft Set

Wang

Xiong

2020

MATEC Web Conf.

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In order to study the prediction problem of expressway travel time, due to the ambiguity and uncertainty in the road traffic system, the travel time prediction model is established based on the exclusive disjunctive soft set theory. Through the parameter reduction theory of soft set, the main influence factors are extracted, and the mapping relationship between the influence factors and the travel time is obtained through the exclusive disjunctive soft set decision system. The travel time model is established based on the soft set theory, and the travel time is calculated through the mapping relationship. The experimental results show that, compared with the BPR function model, the travel time model based on the exclusive disjunctive soft set theory reduces the prediction error and effectively improves the calculation accuracy of the travel time.

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Section: Problem Formulationsmentioning

confidence: 99%

“…According to the relevant information and expert experience, and parameter reduction theory of soft set [16][17]. hhis paper mainly considers objective factors (traffic flow, vehicle speed), weather conditions and traffic event as the main factors affecting travel time.…”

Section: Experimental Data Sourcementioning

confidence: 99%

Research on Expressway Travel Time Prediction Based on Exclusive Disjunctive Soft Set

Wang

Xiong

2020

MATEC Web Conf.

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“…Xiao et al [8] developed a forecasting method based the fuzzy soft set model. Henceforth, much research on parameter reduction has been completed, and several results have been derived [9][10][11][12][13][14]. Research based on soft set theory to solve decision-making problems derives from the concept of parameter reduction.…”

Section: Introductionmentioning

confidence: 99%

Parameter Reductions of Bipolar Fuzzy Soft Sets with Their Decision-Making Algorithms

et al. 2019

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Parameter reduction is a very important technique in many fields, including pattern recognition. Many reduction techniques have been reported for fuzzy soft sets to solve decision-making problems. However, there is almost no attention to the parameter reduction of bipolar fuzzy soft sets, which take advantage of the fact that membership and non-membership degrees play a symmetric role. This methodology is of great importance in many decision-making situations. In this paper, we provide a novel theoretical approach to solve decision-making problems based on bipolar fuzzy soft sets and study four types of parameter reductions of such sets. Parameter reduction algorithms are developed and illustrated through examples. The experimental results prove that our proposed parameter reduction techniques delete the irrelevant parameters while keeping definite decision-making choices unchanged. Moreover, the reduction algorithms are compared regarding the degree of ease of computing reduction, applicability, exact degree of reduction, applied situation, and multi-use of parameter reduction. Finally, a real application is developed to describe the validity of our proposed reduction algorithms.

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“…After Molodtsov, the research interests in the soft set theory have been growing rapidly, such as the algebraic structure [5,6], topology [7,8], normal parameter reduction [9], medical diagnosis [10], game theory [4], and decision making under uncertainties [11,12]. In addition, the study of hybrid models that are developed by combining the soft set theory with other mathematical tools, such as rough sets [13], fuzzy sets [14], and intuitionistic fuzzy sets [15], has also been an important research topic.…”

Section: Introductionmentioning

confidence: 99%

Algorithm for Neutrosophic Soft Sets in Stochastic Multi-Criteria Group Decision Making Based on Prospect Theory

2019

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To address issues involving inconsistencies, this paper proposes a stochastic multi-criteria group decision making algorithm based on neutrosophic soft sets, which includes a pair of asymmetric functions: Truth-membership and false-membership, and an indeterminacy-membership function. For integrating an inherent stochastic, the algorithm expresses the weights of decision makers and parameter subjective weights by neutrosophic numbers instead of determinate values. Additionally, the algorithm is guided by the prospect theory, which incorporates psychological expectations of decision makers into decision making. To construct the prospect decision matrix, this research establishes a conflict degree measure of neutrosophic numbers and improves it to accommodate the stochastic multi-criteria group decision making. Moreover, we introduce the weighted average aggregation rule and weighted geometric aggregation rule of neutrosophic soft sets. Later, this study presents an algorithm for neutrosophic soft sets in the stochastic multi-criteria group decision making based on the prospect theory. Finally, we perform an illustrative example and a comparative analysis to prove the effectiveness and feasibility of the proposed algorithm.

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An Alternative Approach to Normal Parameter Reduction Algorithm for Soft Set Theory

Cited by 27 publications

References 43 publications

Research on Expressway Travel Time Prediction Based on Exclusive Disjunctive Soft Set

Research on Expressway Travel Time Prediction Based on Exclusive Disjunctive Soft Set

Parameter Reductions of Bipolar Fuzzy Soft Sets with Their Decision-Making Algorithms

Algorithm for Neutrosophic Soft Sets in Stochastic Multi-Criteria Group Decision Making Based on Prospect Theory

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