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The mathematical representation of uncertainty has led to a proliferation of preference structures, such as interval-valued fuzzy sets, intuitionistic fuzzy sets, and various granular models. While these extensions are often studied…

General Mathematics · Mathematics 2026-04-16 Juan Martínez-Moreno , Diego García-Zamora

In this paper we deal with the problem of extending Zadeh's operators on fuzzy sets (FSs) to interval-valued (IVFSs), set-valued (SVFSs) and type-2 (T2FSs) fuzzy sets. Namely, it is known that seeing FSs as SVFSs, or T2FSs, whose membership…

Artificial Intelligence · Computer Science 2018-07-23 F. J. Lobillo , Luis Merino , Gabriel Navarro , Evangelina Santos

This paper develops a category-theoretic approach to uncertainty, informativeness and decision-making problems. It is based on appropriate first order fuzzy logic in which not only logical connectives but also quantifiers have fuzzy…

General Mathematics · Mathematics 2007-05-23 P. V. Golubtsov , S. S. Moskaliuk

It is well known that type-1 fuzzy sets (T1 FSs) have limited capabilities to handle some data uncertainties directly, and type-2 fuzzy sets (T2 FSs) can cover the shortcoming of T1 FSs to a certain extent. Fuzzy discrete event systems…

Systems and Control · Computer Science 2016-10-11 Weilin Deng , Daowen Qiu

Regression analysis is employed to examine and quantify the relationships between input variables and a dependent and continuous output variable. It is widely used for predictive modelling in fields such as finance, healthcare, and…

Machine Learning · Computer Science 2025-10-16 Ashish Bhatia , Renato Cordeiro de Amorim , Vito De Feo

This paper is concerned with the fuzzy $H_{\infty}$ filter design issue for nonlinear systems with time-varying delay. To overcome the shortcomings of the conventional methods with matched preconditions, the fuzzy $H_{\infty}$ filter to be…

Systems and Control · Electrical Eng. & Systems 2022-09-14 Qianqian Ma , Hongwei Xia , Li Li , Guangcheng Ma

To address the challenges in networked environments and control problems associated with complex nonlinear uncertain systems, this paper investigates the design of a membership-function-dependent (MFD) memory output-feedback (MOF)…

Systems and Control · Electrical Eng. & Systems 2024-12-10 Sen Kong , Meng Wang

In line with the increasing attention paid to deal with uncertainty in ordinal data models, we propose to combine Fuzzy models with \cub models within questionnaire analysis. In particular, the focus will be on \cub models' uncertainty…

Applications · Statistics 2016-06-22 E. Di Nardo , R. Simone

Aiming at the group decision - making problem with multi - objective attributes, this study proposes a group decision - making system that integrates fuzzy inference and Bayesian network. A fuzzy rule base is constructed by combining…

Artificial Intelligence · Computer Science 2025-05-01 Shui-jin Rong , Wei Guo , Da-qing Zhang

In the domain of Computing with words (CW), fuzzy linguistic approaches are known to be relevant in many decision-making problems. Indeed, they allow us to model the human reasoning in replacing words, assessments, preferences, choices,…

Artificial Intelligence · Computer Science 2013-04-23 Mohammed-Amine Abchir , Isis Truck

This paper introduces a novel approach to enhance uncertainty representation, offering decision-makers a more comprehensive perspective for improved decision-making outcomes. We propose Generalized Orbicular (m,n,o) T-Spherical Fuzzy Set…

Computational Engineering, Finance, and Science · Computer Science 2024-07-02 Yasir Akhtar , Mehboob Ali , Miin-Shen Yang

A new approach for uncertainty management for fuzzy, rule based decision support systems is proposed: The domain expert's knowledge is expressed by a set of rules that frequently refer to vague and uncertain propositions. The certainty of…

Artificial Intelligence · Computer Science 2013-04-10 Christoph F. Eick

Engineering design risks could cause unaffordable losses, and thus risk assessment plays a critical role in engineering design. On the other hand, the high complexity of modern engineering designs makes it difficult to assess risks…

Computational Engineering, Finance, and Science · Computer Science 2025-01-28 Guan Wang , Yimin Feng , Rongbin Guo , Yusheng Liu , Qiang Zou

Real-world data contain uncertainty and variations that can be correlated to external variables, known as randomness. An alternative cause of randomness is chaos, which can be an important component of chaotic time series. One of the…

The Interval-valued intuitionistic fuzzy sets (IVIFSs) based on the intuitionistic fuzzy sets combines the classical decision method is in its research and application is attracting attention. After comparative analysis, there are multiple…

Artificial Intelligence · Computer Science 2022-11-08 Jing Wang , Qiang Cai , Guiwu Wei , Ningna Liao

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

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

In this article, we define some types of distances between two intuitionistic fuzzy soft (IFS) sets and proposed similarity measures of two IFS-sets. We then construct a decision method which is applied to a medical diagnosis problem that…

Logic · Mathematics 2013-12-17 Naim Çağman , İrfan Deli

The probabilistic linguistic term has been proposed to deal with probability distributions in provided linguistic evaluations. However, because it has some fundamental defects, it is often difficult for decision-makers to get reasonable…

Systems and Control · Electrical Eng. & Systems 2021-12-01 Zongmin Liu

The purpose of this paper is to point to the usefulness of applying a linear mathematical formulation of fuzzy multiple criteria objective decision methods in organising business activities. In this respect fuzzy parameters of linear…

Artificial Intelligence · Computer Science 2007-05-23 Sonja Petrovic-Lazarevic , Ajith Abraham