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Objective and interpretable metrics to evaluate current artificial intelligent systems are of great importance, not only to analyze the current state of such systems but also to objectively measure progress in the future. In this work, we…

Computer Vision and Pattern Recognition · Computer Science 2020-02-11 Julian Niedermeier , Gonçalo Mordido , Christoph Meinel

Fuzzy Description Logics (FDLs) are logic-based formalisms used to represent and reason with vague or imprecise knowledge. It has been recently shown that reasoning in most FDLs using truth values from the interval [0,1] becomes undecidable…

Artificial Intelligence · Computer Science 2015-09-30 Stefan Borgwardt , Rafael Peñaloza

The immersed boundary (IB) method is a general mathematical framework for studying problems involving fluid-structure interactions in which an elastic structure is immersed in a viscous incompressible fluid. In the IB formulation, the fluid…

Numerical Analysis · Mathematics 2020-10-01 Yuanxun Bao , Alexander D. Kaiser , Jason Kaye , Charles S. Peskin

A simplified description of Fuzzy TOPSIS (Technique for Order Preference by Similarity to Ideal Situation) is presented. We have adapted the TOPSIS description from existing Fuzzy theory literature and distilled the bare minimum concepts…

Artificial Intelligence · Computer Science 2017-06-06 Balwinder Sodhi , Prabhakar T.

This paper introduces a compositional framework for constructing finite abstractions of nonlinear interconnected impulsive systems using dissipativity-based conditions. Central to our approach is the concept of "alternating simulation…

Systems and Control · Electrical Eng. & Systems 2024-12-24 Abdalla Swikir

This paper proposes a new fuzzy assessing procedure with application in management decision making. The proposed fuzzy approach build the membership functions for system characteristics of a standby repairable system. This method is used to…

Artificial Intelligence · Computer Science 2017-07-07 Shoele Jamali , Mehrdad J. Bani

Since its inception, Fuzzy Set has been widely used to handle uncertainty and imprecision in decision-making. However, conventional fuzzy sets, often referred to as type-1 fuzzy sets (T1FSs) have limitations in capturing higher levels of…

Artificial Intelligence · Computer Science 2026-04-14 Bapi Dutta , Diego García-Zamora , José Rui Figueira , Luis Martínez

A model's interpretability is essential to many practical applications such as clinical decision support systems. In this paper, a novel interpretable machine learning method is presented, which can model the relationship between input…

Machine Learning · Computer Science 2022-12-06 Heming Yao , Harm Derksen , Jessica R. Golbus , Justin Zhang , Keith D. Aaronson , Jonathan Gryak , Kayvan Najarian

The new concept of fuzzy interval matrices has been introduced in this book for the first time. The authors have not only introduced the notion of fuzzy interval matrices, interval neutrosophic matrices and fuzzy neutrosophic interval…

General Mathematics · Mathematics 2007-05-23 W. B. Vasantha Kandasamy , Florentin Smarandache

The orbit of a point $x\in X$ in a classical iterated function system (IFS) can be defined as $\{f_u(x)=f_{u_n}\circ\cdots \circ f_{u_1}(x):$ $u=u_1\cdots u_n$ is a word of a full shift $\Sigma$ on finite symbols and $f_{u_i}$ is a…

Dynamical Systems · Mathematics 2022-03-30 Dawoud Ahmadi Dastjerdi , Mahdi Aghaee

Bayesian inference requires specification of a single, precise prior distribution, whereas frequentist inference only accommodates a vacuous prior. Since virtually every real-world application falls somewhere in between these two extremes,…

Methodology · Statistics 2023-09-26 Ryan Martin

Independence of premise principles play an important role in characterizing the modified realizability and the Dialectica interpretations. In this paper we show that a great many intuitionistic set theories are closed under the…

Logic · Mathematics 2019-11-20 Takako Nemoto , Michael Rathjen

We consider iterated functions systems (IFS) on compact metric spaces and introduce the concept of target sets. Such sets have very rich dynamical properties and play a similar role as semifractals introduced by Lasota and Myjak do for…

Dynamical Systems · Mathematics 2018-08-31 Lorenzo J. Díaz , Edgar Matias

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

Current intent classification approaches assign binary intent class memberships to natural language utterances while disregarding the inherent vagueness in language and the corresponding vagueness in intent class boundaries. In this work,…

Computation and Language · Computer Science 2021-04-23 Geetanjali Bihani , Julia Taylor Rayz

In Formal Languages and Automata Theory courses, students find understanding nondeterministic finite-state and pushdown automata difficult. In many cases, this means that it is challenging for them to comprehend the operational semantics of…

Formal Languages and Automata Theory · Computer Science 2025-08-06 Marco T. Morazán , David Anthony K. Fields , Andrés M. Garced , Tijana Minić

We provide an overview of iterated function systems (IFS), where randomly chosen state-to-state maps are applied iteratively to a state. We aim to summarize the state of art and, where possible, identify fundamental challenges and…

Probability · Mathematics 2022-11-29 Ramen Ghosh , Jakub Marecek

In this paper, a combination of fuzzy clustering estimation and sliding mode control is used to control a quadrotor system, whose mathematical model is complex and has unknown elements, including structure, parameters, and so on. In…

Systems and Control · Electrical Eng. & Systems 2023-11-15 Moufid Bouhentala , Mouna Ghanai , Kheireddine Chafaa

In this paper the concept of fuzzy characteristic interior ideals in partially ordered gamma-semigroups(Po-gamma-semigroups) has been introduced. It is observed that it satisfies level subset criterion and characteristic function criterion.

General Mathematics · Mathematics 2011-02-02 Samit Kumar Majumder

This paper presents an intelligent autonomous parking system with multi-functions. The integrated system consists of two sub-systems, namely the Fuzzy-Based Onboard System and control center. Unlike most current auto-parking experiments,…

Systems and Control · Electrical Eng. & Systems 2019-12-17 Yu Wang , Xiaoxi Zhu