211 research outputs found
A multi criteria group decision making approach based on fuzzy measure theory to assess the different gene regions used in rodent species
Many mitochondrial and nuclear gene regions are used in phylogenetic and taxonomic studies to investigate the historical background of the species and to present the hierarchy of the species. In this paper, we consider the problem of proposing a favorable gene region that determines the diversification of rodent species as a multi criteria group decision making problem. We use fuzzy measure theory and fuzzy integrals to get the results. We conclude with different fuzzy measures and fuzzy integral techniques that COI gene region which is preferred in animal barcoding studies is more favorable.Publisher's Versio
A Method Based on Intuitionistic Fuzzy Dependent Aggregation Operators for Supplier Selection
Recently, resolving the decision making problem of evaluation and ranking the potential suppliers have become as a key strategic factor for business firms. In this paper, two new intuitionistic fuzzy aggregation operators are developed: dependent intuitionistic fuzzy ordered weighed averaging (DIFOWA) operator and dependent intuitionistic fuzzy hybrid weighed aggregation (DIFHWA) operator. Some of their main properties are studied. A method based on the DIFHWA operator for intuitionistic fuzzy multiple attribute decision making is presented. Finally, an illustrative example concerning supplier selection is given
A New Approach to Intuitionistic Fuzzy Decision Making Based on Projection Technology and Cosine Similarity Measure
For a multi-attribute decision making (MADM) problem, the information of
alternatives under different attributes is given in the form of intuitionistic
fuzzy number(IFN). Intuitionistic fuzzy set (IFS) plays an important role in
dealing with un-certain and incomplete information. The similarity measure of
intuitionistic fuzzy sets (IFSs) has always been a research hotspot. A new
similarity measure of IFSs based on the projection technology and cosine
similarity measure, which con-siders the direction and length of IFSs at the
same time, is first proposed in this paper. The objective of the presented
pa-per is to develop a MADM method and medical diagnosis method under IFS using
the projection technology and cosine similarity measure. Some examples are used
to illustrate the comparison results of the proposed algorithm and some
exist-ing methods. The comparison result shows that the proposed algorithm is
effective and can identify the optimal scheme accurately. In medical diagnosis
area, it can be used to quickly diagnose disease. The proposed method enriches
the exist-ing similarity measure methods and it can be applied to not only
IFSs, but also other interval-valued intuitionistic fuzzy sets(IVIFSs) as well
Intuitionistic fuzzy Einstein Choquet integral operators for multiple attribute decision making
In this paper, we propose some new aggregation operators which are based on the Choquet integral and Einstein operations. The operators not only consider the importance of the elements or their ordered positions, but also consider the interactions phenomena among the decision making criteria or their ordered positions. It is shown that the proposed operators generalize several intuitionistic fuzzy Einstein aggregation operators. Moreover, some of their properties are investigated. We also study the relationship between the proposed operators and the existing intuitionistic fuzzy Choquet aggregation operators. Furthermore, an approach based on intuitionistic fuzzy Einstein Choquet integral operators is presented for multiple attribute decision-making problem. Finally, a practical decision making problem involving the water resource management is given to illustrate the multiple attribute decision making process
Interval-Valued Intuitionistic Fuzzy Einstein Geometric Choquet Integral Operator and Its Application to Multiattribute Group Decision-Making
With respect to the multiattribute decision-making (MADM) problem in which the attributes have interdependent or interactive phenomena under the interval-valued intuitionistic fuzzy environment, we propose a group decision-making approach based on the interval-valued intuitionistic fuzzy Einstein geometric Choquet integral operator (IVIFEGC). Firstly, the Einstein operational laws and some basic principle on interval-valued intuitionistic fuzzy sets are introduced. Then, the IVIFEGC is developed and some desirable properties of the operator are studied. Further, an approach to multiattribute group decision-making with interval-valued intuitionistic fuzzy information is developed, where the attributes have interdependent phenomena. Finally, an illustrative example is used to illustrate the developed approach
The legacy of 50 years of fuzzy sets: A discussion
International audienceThis note provides a brief overview of the main ideas and notions underlying fifty years of research in fuzzy set and possibility theory, two important settings introduced by L.A. Zadeh for representing sets with unsharp boundaries and uncertainty induced by granules of information expressed with words. The discussion is organized on the basis of three potential understanding of the grades of membership to a fuzzy set, depending on what the fuzzy set intends to represent: a group of elements with borderline members, a plausibility distribution, or a preference profile. It also questions the motivations for some existing generalized fuzzy sets. This note clearly reflects the shared personal views of its authors
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