Combination of interval set and soft set

Qin, Keyun; Meng, Dan; Pei, Zheng; Xu, Yang

doi:10.1080/18756891.2013.773192

Cited by 12 publications

(7 citation statements)

References 26 publications

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“…The soft set theory is different from traditional tools for dealing with uncertainties, such as fuzzy set theory [2] and rough set theory [3]; it is free from the inadequacy of the parametrization tools of these theories. Subsequently, the generalized models of soft sets (hybrid soft sets) appeared rapidly, and people became more and more interested in the practical applications of hybrid soft set theories [4][5][6], especially with regard to their applications in decision-making [4,5,7]. Decision making is considered a cognitive-based human activity for selecting the best alternative.…”

Section: Introductionmentioning

confidence: 99%

Incomplete Fuzzy Soft Sets and Their Application to Decision-Making

Wang

Qin

2019

Symmetry

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The research of incomplete fuzzy soft sets is of paramount importance in fuzzy soft sets, where the combination of incomplete fuzzy soft set and decision-making problem is of great significance. Incomplete information in fuzzy soft sets leads to more uncertainty and ambiguity in decision-making. The focus of this paper to propose an algorithm of fuzzy soft set based decision-making problems under incomplete information. On the basis of the weighted function, we introduce the notions of weighted incomplete soft sets and weighted incomplete fuzzy soft sets, and show an approach to weighted incomplete fuzzy soft sets for dealing with decision-making. Considering the missing weight function, the concept of incomplete weighted fuzzy soft sets is presented. Meanwhile, we apply the incomplete weighted fuzzy soft sets to solve the decision-making problem. As modal-style operators for fuzzy soft sets have a precise description of attributes possessed by objects, we apply modal-style operator for incomplete fuzzy soft set to deal with decision-making and propose a new algorithm to make it more accurate and simple.

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Section: Introductionmentioning

confidence: 99%

Incomplete Fuzzy Soft Sets and Their Application to Decision-Making

Wang

Qin

2019

Symmetry

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“…Ali et al 8 define lattice ordered soft sets for situations where some order exists among the elements of the parameter set. Qin et al 23 combine interval sets and soft sets, and Zhang 35 studies interval soft sets. Maji, Biswas and Roy 17 introduce fuzzy soft sets (see also Ali and Shabir 9 for techniques that permit to study logic connectives for soft sets and fuzzy soft sets, and Alcantud 2 for a recent decision-making procedure based on fuzzy soft sets).…”

Section: Introductionmentioning

confidence: 99%

A New Criterion for Soft Set Based Decision Making Problems under Incomplete Information

Alcantud¹,

Santos‐García²

2017

IJCIS

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“…Maji et al [3] initiated the study of hybrid structures involving fuzzy sets and soft sets and introduced the notion of fuzzy soft set. Qin et al [4] combine interval sets and soft sets. Zhang [5] studies interval soft sets.…”

Section: Introductionmentioning

confidence: 99%

A Method for Fuzzy Soft Sets in Decision-Making Based on an Ideal Solution

2017

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Abstract:In this paper, a decision model based on a fuzzy soft set and ideal solution approaches is proposed. This new decision-making method uses the divide-and-conquer algorithm, and it is different from the existing algorithm (the choice value based approach and the comparison score based approach). The ideal solution is generated according to each attribute (pros or cons of the attributes, with or without constraints) of the fuzzy soft sets. Finally, the weighted Hamming distance is used to compute all possible alternatives and get the final result. The core of the decision process is the design phase, the existing decision models based on soft sets mostly neglect the analysis of attributes and decision objectives. This algorithm emphasizes the correct expression of the purpose of the decision maker and the analysis of attributes, as well as the explicit decision function. Additionally, this paper shows the fact that the rank reversal phenomenon occurs in the comparison score algorithm, and an example is provided to illustrate the rank reversal phenomenon. Experiments indicate that the decision model proposed in this paper is efficient and will be useful for practical problems. In addition, as a general model, it can be extended to a wider range of fields, such as classifications, optimization problems, etc.

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Combination of interval set and soft set

Cited by 12 publications

References 26 publications

Incomplete Fuzzy Soft Sets and Their Application to Decision-Making

Incomplete Fuzzy Soft Sets and Their Application to Decision-Making

A New Criterion for Soft Set Based Decision Making Problems under Incomplete Information

A Method for Fuzzy Soft Sets in Decision-Making Based on an Ideal Solution

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