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: This work provides the methods for performing fuzzy arithmetic and shows that the PFN representation is closed under the arithmetic operations, and proposes six parameters which define parameterized fuzzy numbers (PFN), of which TFNs are a special case.
200 citations
TL;DR: A rough-fuzzy hybridization scheme for case generation that makes the algorithm suitable for mining data sets, large both in dimension and size, due to its low-time requirement in case generation as well as retrieval.
Abstract: We propose a rough-fuzzy hybridization scheme for case generation. Fuzzy set theory is used for linguistic representation of patterns, thereby producing a fuzzy granulation of the feature space. Rough set theory is used to obtain dependency rules which model informative regions in the granulated feature space. The fuzzy membership functions corresponding to the informative regions are stored as cases along with the strength values. Case retrieval is made using a similarity measure based on these membership functions. Unlike the existing case selection methods, the cases here are cluster granules and not sample points. Also, each case involves a reduced number of relevant features. These makes the algorithm suitable for mining data sets, large both in dimension and size, due to its low-time requirement in case generation as well as retrieval. Superiority of the algorithm in terms of classification accuracy and case generation and retrieval times is demonstrated on some real-life data sets.
200 citations
01 Jan 1986
TL;DR: This paper presents an outline of a theory of usuality based on fuzzy logic and applications of fuzzy subsets theory and mathematical programming, and some particular applications.
Abstract: 1: Some theoretical Aspects.- 1.1 Mathematics and fuzziness.- 1.2 Radon-Nikodym Theorem for fuzzy set-valued measures.- 1.3 Construction of a probability distribution from a fuzzy information.- 1.4 Convolution of fuzzyness and probability.- 1.5 Fuzzy sets and subobjects.- 2: From theory to applications.- 2.1 Outline of a theory of usuality based on fuzzy logic.- 2.2 Fuzzy sets theory and mathematical programming.- 2.3 Decisions with usual values.- 2.4 Support logic programming.- 2.5 Hybrid data - various associations between fuzzy subsets and random variables.- 2.6 Fuzzy relation equations : methodology and applications.- 3: Various particular applications.- 3.1 Multi criteria decision making in crisp and fuzzy environments.- 3.2 Fuzzy subsets applications in O.R. and management.- 3.3 Character recognition by means of fuzzy set reasoning.- 3.4 Computerized electrocardiography and fuzzy sets.- 3.5 Medical applications with fuzzy sets.- 3.6 Fuzzy subsets in didactic processes.
200 citations
TL;DR: In this article, three types of multiobjective programming problems for obtaining fuzzy linear regression models are formulated corresponding to the three indices, and a linear programming based interactive decision-making method is developed to derive the satisficing solution of the decision maker for the formulated multiobjectives programming problems.
199 citations
TL;DR: Every comonotonically additive, positively homogeneous functional of bounded variation can be represented as a Choquet integral with respect to a non-monotonic fuzzy measure of boundedVariation.
199 citations