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Related papers: Extending Similarity Measures of Interval Type-2 F…

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Type-1 fuzzy logic has frequently been used in control systems. However this method is sometimes shown to be too restrictive and unable to adapt in the presence of uncertainty. In this paper we compare type-1 fuzzy control with several…

Artificial Intelligence · Computer Science 2016-11-15 Naisan Benatar , Uwe Aickelin , Jonathan M. Garibaldi

Being a pair of dual concepts, the normalized distance and similarity measures are very important tools for decision-making and pattern recognition under intuitionistic fuzzy sets framework. To be more effective for decision-making and…

General Mathematics · Mathematics 2023-02-07 Xinxing Wu , Zhiyi Zhu , Guanrong Chen , Tao Wang , Peide Liu

The paper describes a method for measuring the similarity and symmetry of an image annotated with bounding boxes indicating image objects. The latter representation became popular recently due to the rapid development of fast and efficient…

Computer Vision and Pattern Recognition · Computer Science 2021-07-30 Marcin Iwanowski , Marcin Grzabka

Interval Pairwise Comparison Matrices have been widely used to account for uncertain statements concerning the preferences of decision makers. Several approaches have been proposed in the literature, such as multiplicative and fuzzy…

Artificial Intelligence · Computer Science 2017-11-28 Bice Cavallo , Matteo Brunelli

In an automated search system, similarity is a key concept in solving a human task. Indeed, human process is usually a natural categorization that underlies many natural abilities such as image recovery, language comprehension, decision…

Computer Vision and Pattern Recognition · Computer Science 2018-12-19 Yosr Ghozzi , Nesrine Baklouti , Hani Hagras , Mounir Ben Ayed , Adel M. Alimi

The transitivity of fuzzy relations plays an important role in fuzzy set theory, artificial intelligence, clustering and decision-making. However, it is often difficult for fuzzy relations to satisfy the transitivity property in many…

General Mathematics · Mathematics 2026-05-04 Dechao Li , Yutao Yao , Jingyao Duan

In this paper, the fuzzy Hausdorff distance is studied, and also the fuzzy equidistant set for two points of a fuzzy metric space is introduced. Here, the fuzzy metric space has been redefined using recently developed fuzzy geometry, and…

General Mathematics · Mathematics 2025-12-19 Biswajit Singha , Ronald Manríquez , Cristian Carvajal , Debjani Chakraborty

Both FCM and PCM clustering methods have been widely applied to pattern recognition and data clustering. Nevertheless, FCM is sensitive to noise and PCM occasionally generates coincident clusters. PFCM is an extension of the PCM model by…

Genomics · Quantitative Biology 2021-11-25 Shahabeddin Sotudian , Mohammad Hossein Fazel Zarandi

In dealing with veracity of data analytics, fuzzy methods are more and more relying on probabilistic and statistical techniques to underpin their applicability. Conversely, standard statistical models usually disregard to take into account…

Statistics Theory · Mathematics 2019-12-23 Elvira Di Nardo , Rosaria Simone

This paper presents a method to measure the similarity between different fuzzy concepts in order to optimize Semantic networks. The problem approached is the minimization of the time of research and identification of user's Objects and…

Information Retrieval · Computer Science 2012-06-11 Mohamed nazih Omri , Noureddine Chouigui

Driving styles summarize different driving behaviors that reflect in the movements of the vehicles. These behaviors may indicate a tendency to perform riskier maneuvers, consume more fuel or energy, break traffic rules, or drive carefully.…

Robotics · Computer Science 2023-11-13 Iago Pachêco Gomes , Denis Fernando Wolf

For data sets with similar features, for example highly correlated features, most existing stability measures behave in an undesired way: They consider features that are almost identical but have different identifiers as different features.…

Machine Learning · Statistics 2021-01-18 Andrea Bommert , Jörg Rahnenführer

Time series are ubiquitous, and a measure to assess their similarity is a core part of many computational systems. In particular, the similarity measure is the most essential ingredient of time series clustering and classification systems.…

Machine Learning · Computer Science 2016-05-18 Joan Serrà , Josep Lluis Arcos

Interval type-2 fuzzy logic systems (IT2 FLSs) have a wide range of applications due to their abilities to handle uncertainties compared to their type-1 counterparts. This paper discusses the representation of IT2 FLSs in closed…

Systems and Control · Computer Science 2018-03-20 Sherif M. Abuelenin , Rabab F. Abdel-Kader

General Type-2 (GT2) Fuzzy Logic Systems (FLSs) are perfect candidates to quantify uncertainty, which is crucial for informed decisions in high-risk tasks, as they are powerful tools in representing uncertainty. In this paper, we travel…

Machine Learning · Computer Science 2024-04-22 Yusuf Guven , Ata Koklu , Tufan Kumbasar

Concepts of graph theory have applications in many areas of computer science including data mining, image segmentation, clustering, image capturing, networks, etc . An interval-valued fuzzy set is a generalization of the notion of a fuzzy…

Discrete Mathematics · Computer Science 2014-01-07 Hossein Rashmanlou , Madhumangal Pal

We introduce a fuzzy metric on the set of probability measures on a fuzzy metric space. The construction is an analogue, in the realm of fuzzy metric spaces, of the Prokhorov metric on the set of probability measures on compact metric…

General Topology · Mathematics 2011-05-20 D. Repovš , A. Savchenko , M. Zarichnyi

The article is dedicated to the analysis of the existing models for assessment based of the fuzzy logic centroid technique. A new Generalized Rectangular Model were developed. Some generalizations of the existing models are offered.

Artificial Intelligence · Computer Science 2015-01-26 Igor Yakov Subbotin

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…

Artificial Intelligence · Computer Science 2023-11-21 Jing Yang , Wei Su

We present an extension of the identity method initially introduced for particle yield fluctuation studies towards measurements of differential correlations. The extension is developed and illustrated in the context of measurements of the…

Data Analysis, Statistics and Probability · Physics 2018-07-25 Claude Pruneau , Alice Ohlson