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This paper initiates the study of picture fuzzy topological spaces. In order to develop a mechanism to construct picture fuzzy topological spaces, we prove some basic results related to picture fuzzy sets together with the introduction of…

General Mathematics · Mathematics 2022-01-25 Abdul Razaq , Harish Garg , Umer Shuaib

We introduce a general theory of epistemic random fuzzy sets for reasoning with fuzzy or crisp evidence. This framework generalizes both the Dempster-Shafer theory of belief functions, and possibility theory. Independent epistemic random…

Artificial Intelligence · Computer Science 2024-05-08 Thierry Denoeux

Ranking intuitionistic fuzzy sets with distance based ranking methods requires to calculate the distance between intuitionistic fuzzy set and a reference point which is known to have either maximum (positive ideal solution) or minimum…

Artificial Intelligence · Computer Science 2023-11-23 Kaan Deveci , Onder Guler

Marine accidents highlight the crucial need for human safety. They result in loss of life, environmental harm, and significant economic costs, emphasizing the importance of being proactive and taking precautionary steps. This study aims to…

Applications · Statistics 2024-11-26 Hitesh Khungla , Kulbir Singh , Mohit Kumar

Classical machine learning classifiers tend to be overconfident can be unreliable outside of the laboratory benchmarks. Properly assessing the reliability of the output of the model per sample is instrumental for real-life scenarios where…

Artificial Intelligence · Computer Science 2025-11-07 Javier Fumanal-Idocin , Javier Andreu-Perez

The approach described here allows to use the fuzzy Object Based Representation of imprecise and uncertain knowledge. This representation has a great practical interest due to the possibility to realize reasoning on classification with a…

Artificial Intelligence · Computer Science 2012-06-13 Mohamed Nazih Omri

The conventional clustering algorithms have difficulties in handling the challenges posed by the collection of natural data which is often vague and uncertain. Fuzzy clustering methods have the potential to manage such situations…

Information Retrieval · Computer Science 2014-06-09 Satendra kumar , Mamta kathuria , Alok Kumar Gupta , Monika Rani

Most existing work on three-way conflict analysis has focused on trisecting agent pairs, agents, or issues, which contributes to understanding the nature of conflicts but falls short in addressing their resolution. Specifically, the…

Artificial Intelligence · Computer Science 2025-12-30 Jing Liu , Mengjun Hu , Guangming Lang

We study binary coordination games with random utility played in networks. A typical equilibrium is fuzzy -- it has positive fractions of agents playing each action. The set of average behaviors that may arise in an equilibrium typically…

Theoretical Economics · Economics 2021-09-01 Marcin Pęski

In this paper, we present a generalization of the relational data model based on paraconsistent intuitionistic fuzzy sets. Our data model is capable of manipulating incomplete as well as inconsistent information. Fuzzy relation or…

Databases · Computer Science 2007-05-23 Rajshekhar Sunderraman , Haibin Wang

Fuzzy relational identification builds a relational model describing systems behaviour by a nonlinear mapping between its variables. In this paper, we propose a new fuzzy relational algorithm based on simplified max-min relational equation.…

Robotics · Computer Science 2007-05-23 P. J. Costa Branco , J. A. Dente

The increasing rise in artificial intelligence has made the use of imprecise language in computer programs like ChatGPT more prominent. Fuzzy logic addresses this form of imprecise language by introducing the concept of fuzzy sets, where…

Databases · Computer Science 2023-11-08 Kevin Min , Hayden Jananthan , Jeremy Kepner

Modeling fuzziness and imprecision in human rating data is a crucial problem in many research areas, including applied statistics, behavioral, social, and health sciences. Because of the interplay between cognitive, affective, and…

Applications · Statistics 2022-01-27 Antonio Calcagnì , Niccolò Cao , Enrico Rubaltelli , Luigi Lombardi

Background: Wisdom is a superordinate construct that embraces perspective taking, reflectiveness, prosocial orientation, reflective empathetic action, and intellectual humility. Unlike conventional models of reasoning that are rigidly bound…

Artificial Intelligence · Computer Science 2025-09-01 Sweta Kaman , Ankita Sharma , Romi Banerjee

In this paper we prove that Neutrosophic Set (NS) is an extension of Intuitionistic Fuzzy Set (IFS) no matter if the sum of single-valued neutrosophic components is < 1, or > 1, or = 1. For the case when the sum of components is 1 (as in…

General Mathematics · Mathematics 2019-12-03 Florentin Smarandache

In reliability engineering, data about failure events is often scarce. To arrive at meaningful estimates for the reliability of a system, it is therefore often necessary to also include expert information in the analysis, which is…

Methodology · Statistics 2016-10-25 Gero Walter , Frank P. A. Coolen

We consider the problem of aggregating pairwise comparisons to obtain a consensus ranking order over a collection of objects. We use the popular Bradley-Terry-Luce (BTL) model which allows us to probabilistically describe pairwise…

Information Theory · Computer Science 2019-01-30 Mine Alsan , Ranjitha Prasad , Vincent Y. F. Tan

This paper presents a comparative study of three kinds of ideals in fuzzy order theory: forward Cauchy ideals (generated by forward Cauchy nets), flat ideals and irreducible ideals, including their role in connecting fuzzy order with fuzzy…

General Mathematics · Mathematics 2018-06-06 Hongliang Lai , Dexue Zhang , Gao Zhang

Considering the high volume, wide variety, and rapid speed of data generation, investigating feature selection methods for big data presents various applications and advantages. By removing irrelevant and redundant features, feature…

Machine Learning · Computer Science 2026-03-12 Mohammad Hossein Safarpour , Seyed Majid Alavi , Mohammad Izadikhah , Hossein Dibachi

Understanding, modelling and predicting human risky decision-making is challenging due to intrinsic individual differences and irrationality. Fuzzy trace theory (FTT) is a powerful paradigm that explains human decision-making by…

Computation and Language · Computer Science 2022-08-09 Jaron Mar , Jiamou Liu
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