Topic
Fuzzy number
About: Fuzzy number is a research topic. Over the lifetime, 35606 publications have been published within this topic receiving 972544 citations.
Papers published on a yearly basis
Papers
More filters
••
TL;DR: The dynamic hybrid multiple attribute decision making problems, in which the decision information is expressed in real numbers, interval numbers or linguistic labels, are investigated and the concept of fuzzy membership grade and clustering is adopted to aggregate the grey relational degree of all the evaluated periods.
Abstract: In this paper, the dynamic hybrid multiple attribute decision making problems, in which the decision information, provided by decision makers at different periods, is expressed in real numbers, interval numbers or linguistic labels (linguistic labels can be described by triangular fuzzy numbers), respectively, are investigated. The method first utilizes three different GRA (grey relational analysis (real-valued GRA, interval-valued GRA and fuzzy-valued GRA) to calculate the individual grey relational degree of each alternative to the positive and negative ideal alternatives based on the decision information expressed in real numbers, interval numbers and linguistic labels, respectively, provided by each decision maker at each period, and then adopt the concept of fuzzy membership grade and clustering to aggregate the grey relational degree of all the evaluated periods. Finally, an illustrative example is given to verify the developed approach and to demonstrate its practicality and effectiveness.
168 citations
••
01 Jul 2017TL;DR: 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.
168 citations
••
TL;DR: Some fuzzy approaches of different Multi-Criteria Decision Making (MCDM) methods are combined in order to deal with a trending decision problem such as onshore wind farm site selection.
168 citations
••
TL;DR: In this paper, three novel interval type-2 fuzzy membership function (IT2 FMF) generation methods are proposed, based on heuristics, histograms, and interval type -2 fuzzy C-means, which are evaluated by applying them to back-propagation neural networks (BPNNs).
168 citations
••
TL;DR: The problem of the trapezoidal approximation of fuzzy numbers is discussed and a set of criteria for approximation operators is formulated, which can be used for direct operator derivation.
168 citations