Journal ArticleDOI
On a novel uncertain soft set model
Jianming Zhan,Muhammad Irfan Ali,Nayyar Mehmood +2 more
- Vol. 56, pp 446-457
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TLDR
A kind of novel soft set model called a Z-soft fuzzy rough set is presented by means of three uncertain models: soft sets, rough sets and fuzzy sets, which is an important generalization of Z- soft rough fuzzy sets.Abstract:
Graphical abstractDisplay Omitted HighlightsA novel Z-soft fuzzy rough set model is constructed.Novel idea and new results are different from Meng-SFR-model and Sun-SFR-model.A kind of decision making method based on the Z-SFR-sets is investigated.The comparisons of numerical experimentation are given.An overview of techniques based on some types of soft set models are discussed. In this paper, a kind of novel soft set model called a Z-soft fuzzy rough set is presented by means of three uncertain models: soft sets, rough sets and fuzzy sets, which is an important generalization of Z-soft rough fuzzy sets. As a novel Z-soft fuzzy rough set, its applications in the corresponding decision making problems are established. It is noteworthy that the underlying concepts keep the features of classical Pawlak rough sets. Moreover, this novel approach will involve fewer calculations when one applies this theory to algebraic structures. In particular, an approach for the method of decision making problem with respect to Z-soft fuzzy rough sets is proposed and the validity of the decision making methods is testified by a given example. At the same time, an overview of techniques based on some types of soft set models is investigated. Finally, the numerical experimentation algorithm is developed, in which the comparisons among three types of hybrid soft set models are analyzed.read more
Citations
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Journal ArticleDOI
Algorithms for interval-valued fuzzy soft sets in emergency decision making based on WDBA and CODAS with new information measure.
Xindong Peng,Harish Garg +1 more
TL;DR: A new score function for interval-valued fuzzy number is proposed for tackling the comparison problem, the formulae of information measures are introduced and their transformation relations are pioneered, and the objective weights of various parameters are determined via new entropy method.
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A novel three-way decision model under multiple-criteria environment
TL;DR: This paper proposes a novel decision model based on the combination of three-way decisions and multi-criteria decision-making (MCDM), and proposes an aggregation method of loss functions to reflect the comprehensive losses of alternatives.
Journal ArticleDOI
A novel type of soft rough covering and its application to multicriteria group decision making
TL;DR: A novel type of soft rough covering is introduced by means of soft neighborhoods, and then it is used to improve decision making in a multicriteria group environment.
Journal ArticleDOI
N-soft sets and their decision making algorithms
TL;DR: This paperMotivated and introduced the concept of N-soft set as an extended soft set model, which is a cogent model for binary and non-binary evaluations in numerous kinds of decision making problems.
Journal ArticleDOI
A survey of parameter reduction of soft sets and corresponding algorithms
TL;DR: Some different algorithms of parameter reduction based on some types of (fuzzy) soft sets are reviewed to emphasize their respective advantages and disadvantages, and give some examples to illustrate their differences.
References
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Book
Fuzzy sets
TL;DR: A separation theorem for convex fuzzy sets is proved without requiring that the fuzzy sets be disjoint.
Journal ArticleDOI
Rough sets
TL;DR: This approach seems to be of fundamental importance to artificial intelligence (AI) and cognitive sciences, especially in the areas of machine learning, knowledge acquisition, decision analysis, knowledge discovery from databases, expert systems, decision support systems, inductive reasoning, and pattern recognition.
Journal ArticleDOI
Soft set theory—First results
TL;DR: The main purpose of this paper is to introduce the basic notions of the theory of soft sets, to present the first results of the the theory, and to discuss some problems of the future.
Journal ArticleDOI
An application of soft sets in a decision making problem
TL;DR: In this article, the theory of soft sets was applied to solve a decision-making problem using rough mathematics, and the results showed that soft sets can be used to solve decision making problems.
Journal ArticleDOI
On some new operations in soft set theory
TL;DR: This paper points out that several assertions in a previous paper by Maji et al. are not true in general, and gives some new notions such as the restricted intersection, the restricted union, therestricted difference and the extended intersection of two soft sets.