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In the paper we define the convergence of compact fuzzy sets as a convergence of alpha-cuts in the topology of compact subsets of a metric space. Furthermore we define typical convergences of fuzzy variables and show relations with…

Probability · Mathematics 2009-04-06 Adam Bzowski , Michal K. Urbanski

Similarity search is an important problem in information retrieval. This similarity is based on a distance. Symbolic representation of time series has attracted many researchers recently, since it reduces the dimensionality of these high…

Information Retrieval · Computer Science 2010-06-18 Muhammad Marwan Muhammad Fuad , Pierre-François Marteau

Statistical depth functions order the elements of a space with respect to their centrality in a probability distribution or dataset. Since many depth functions are maximized in the real line by the median, they provide a natural approach to…

Statistics Theory · Mathematics 2025-05-26 Luis González-De La Fuente , Alicia Nieto-Reyes , Pedro Terán

This article deals with the complexity involved in fuzzy derivatives when both input and output are from nonempty, convex, and compact fuzzy space. Consider a fuzzy valued mapping, and for fuzzy differentiation of fuzzy valued function, we…

General Mathematics · Mathematics 2023-08-23 Purnima Pandit , Payal Singh

Fuzzy sets are the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling. Numerous works now combine fuzzy concepts with other scientific disciplines…

Functional Analysis · Mathematics 2017-03-01 Murat Kirişci

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

This paper introduces the notion of fuzzy process as a formalism for the idea of fuzzy contact between a device and its environment. The notions of absolute correctness and relative correctness are defined. In order to work with concurrency…

Logic in Computer Science · Computer Science 2009-06-01 Lucian Luca , Lucian L. Luca

Distance queries are a basic tool in data analysis. They are used for detection and localization of change for the purpose of anomaly detection, monitoring, or planning. Distance queries are particularly useful when data sets such as…

Data Structures and Algorithms · Computer Science 2015-03-20 Edith Cohen

This paper proposes a new approach to multi-sensor data fusion. It suggests that aggregation of data from multiple sensors can be done more efficiently when we consider information about sensors' different characteristics. Similar to most…

Systems and Control · Electrical Eng. & Systems 2019-09-10 Mohammad Amin Ahmad Akhoundi , Ehsan Valavi

An investigation of deep fuzzy systems is presented in this paper. A deep fuzzy system is represented by recursive fuzzy systems from an input terminal to output terminal. Recursive fuzzy systems are sequences of fuzzy grade memberships…

Other Computer Science · Computer Science 2019-06-20 Khaled Ahmed Nagaty

In this paper, an evidential distance measure is proposed which can measure the difference or dissimilarity between complex basic belief assignments (CBBAs), in which the CBBAs are composed of complex numbers. When the CBBAs are degenerated…

Artificial Intelligence · Computer Science 2019-07-02 Fuyuan Xiao

Similarity measure is a very important topic in fuzzy set theory. Torra (2010) proposed the notion of hesitant fuzzy set(HFS), which is a generalization of the notion of Zadeh' fuzzy set. In this paper, some new similarity measures for HFSs…

Information Theory · Computer Science 2012-12-27 Xiaoqiang Zhou , Qingguo Li

The innovation process is always required to produce more advanced technology and increasing productivity. PDM (Probes Distance Meter) comes as a technological innovation in measurement, PDM is a digital distance measuring instrument uses a…

Instrumentation and Detectors · Physics 2016-12-28 Ridlo Qomarrullah , Abdurrachman Mappuji , Wahyu Apriliyanto , Ahmad Harist Julianto , Farahiyah Syarafina , Iswandi

... This paper is to describe exploratory research on the design of a modular autonomous mobile robot controller. The controller incorporates a fuzzy logic [8] [9] approach for steering and speed control [37], a FL approach for ultrasound…

Robotics · Computer Science 2010-04-13 Shailja Shukla , Mukesh Tiwari

This paper defines a distance function that measures the dissimilarity between planar geometric figures formed with straight lines. This function can in turn be used in partial matching of different geometric figures. For a given pair of…

Computer Vision and Pattern Recognition · Computer Science 2016-12-06 Apoorva Honnegowda Roopa , Shrisha Rao

This paper attempt has been made to explain a fuzzy commitment scheme. In the conventional Commitment schemes, both committed string m and valid opening key are required to enable the sender to prove the commitment. However there could be…

Cryptography and Security · Computer Science 2008-09-09 Alawi A. Al-saggaf , H. S. Acharya

Quantifying degrees of fusion and separability between data groups in representation space is a fundamental problem in representation learning, particularly under domain shift. A meaningful metric should capture fusion-altering factors like…

Machine Learning · Computer Science 2026-01-30 Xiaolong Zhang , Jianwei Zhang , Xubo Song

In this paper we review some properties of fuzzy observables, mainly as realized by commutative positive operator valued measures. In this context we discuss two representation theorems for commutative positive operator valued measures in…

Quantum Physics · Physics 2009-07-01 S. Twareque Ali , Claudio Carmeli , Teiko Heinosaari , Alessandro Toigo

Cooperative localization is a promising solution to improve the accuracy and overcome the shortcomings of GNSS. Cooperation is often achieved by measuring the distance between users. To optimally integrate a distance measurement between two…

Signal Processing · Electrical Eng. & Systems 2023-06-12 Colin Cros , Pierre-Olivier Amblard , Christophe Prieur , Jean-François da Rocha

Based on the framework of the directional distance function, we conduct a systematic analysis on the measurement of super-efficiency in order to achieve two main objectives. Our primary purpose is developing two generalized directional…

Optimization and Control · Mathematics 2014-07-10 Mahmood Mehdiloozad , Israfil Roshdi
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