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The picture fuzzy set, characterized by three membership degrees, is a helpful tool for multi-criteria decision making (MCDM). This paper investigates the structure of the closed operational laws in the picture fuzzy numbers (PFNs) and…

人工智能 · 计算机科学 2022-04-11 X. Wu , Z. Zhu , G. Çaylı , P. Liu , X. Zhang , Z. Yang

This paper introduces an intrinsic theory of Thermodynamic Formalism for Iterated Functions Systems with general positive continuous weights (IFSw).We study the spectral properties of the Transfer and Markov operators and one of our first…

动力系统 · 数学 2017-07-07 L. Cioletti , Elismar R. Oliveira

In the context of fuzzy logic, ordinal sums provide a method for constructing new functions from existing functions, which can be triangular norms, triangular conorms, fuzzy negations, copulas, overlaps, uninorms, fuzzy implications, among…

逻辑 · 数学 2019-05-21 Annaxsuel A. de Lima , Benjamín Bedregal , Ivan Mezzomo

In nature, there are many phenomena with both irregularity and uncertainty. Therefore, a fuzzy-valued fractal interpolation is more useful for modeling them than fuzzy interpolation or fractal interpolation. We construct fractal…

综合数学 · 数学 2025-08-05 CholHui Yun , Hyang Choe , MiGyong Ri

This paper considers the linear objective function optimization with respect to a more general class of bipolar fuzzy relational equations, where the fuzzy compositions are defined by an arbitrary continuous Archimedean t-norm. In addition,…

最优化与控制 · 数学 2025-09-03 Amin Ghodousian , Mohammad Sedigh Chopannavaz , Witold Pedrycz

We present a communication which deals with some new methods to solve multiple attribute decision-making (MADM) problems based on Fermatean neutrosophic normal number (FNNN). Fermatean neutrosophic sets based on further generalization of…

综合数学 · 数学 2022-06-09 M. Palanikumar , K. Arulmozhi , Santanu Acharjee

In this work, we present definition of intuitionistic fuzzy parameterized (IFP) intuitionistic fuzzy soft set and its operations. Then we define IFP-aggregation operator to form IFP-intuitionistic fuzzy soft-decision-making method which…

人工智能 · 计算机科学 2016-04-19 Faruk Karaaslan , Naim Cagman , Saban Yilmaz

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…

综合数学 · 数学 2019-12-03 Florentin Smarandache

In this paper, we introduce the concept of the circular complex $q$-rung orthopair fuzzy set (CC$q$-ROFS) as a novel generalization that unifies the existing frameworks of circular complex intuitionistic fuzzy sets (CCIFSs) and complex…

信息论 · 计算机科学 2025-10-20 Yelda Gülfırat , Mehmet Ünver

We prove that the space of intuitionistic fuzzy values (IFVs) with a linear order based on a score function and an accuracy function has the same algebraic structure as the one induced by a linear order based on a similarity function and an…

人工智能 · 计算机科学 2022-06-02 Xinxing Wu , Tao Wang , Qian Liu , Peide Liu , Guanrong Chen , Xu Zhang

All intuitionistic fuzzy TOPSIS methods contain two key elements: (1) the order structure, which can affect the choices of positive ideal-points and negative ideal-points, and construction of admissible distance/similarity measures; (2) the…

综合数学 · 数学 2022-10-24 Xinxing Wu , Zhiyi Zhu , Chuan Chen , Guanrong Chen , Peide Liu

The Fuzzy transform is ubiquitous in different research fields and applications, such as image and data compression, data mining, knowledge discovery, and the analysis of linguistic expressions. As a generalisation of the Fuzzy transform,…

最优化与控制 · 数学 2020-07-28 Giuseppe Patanè

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…

计算工程、金融与科学 · 计算机科学 2024-07-02 Yasir Akhtar , Mehboob Ali , Miin-Shen Yang

This paper introduces a theory of Thermodynamic Formalism for Iterated Function Systems with Measures (IFSm). We study the spectral properties of the Transfer and Markov operators associated to a IFSm. We introduce variational formulations…

动力系统 · 数学 2022-11-10 Jader E. Brasil , Elismar R. Oliveira , Rafael Rigão Souza

Fast and accurate load parameters identification has great impact on the power systems operation and stability analysis. This paper proposes a novel transfer reinforcement learning based method to identify composite ZIP and induction motor…

信号处理 · 电气工程与系统科学 2019-05-08 Jian Xie , Zixiao Ma , Zhaoyu Wang , Fankun Bu

Weighted summation has remained the default input aggregation mechanism in artificial neurons since the earliest neural network models. While computationally efficient, this design implicitly behaves like a mean-based estimator and is…

机器学习 · 计算机科学 2026-03-23 Berke Deniz Bozyigit

This paper discusses the trapezoidal fuzzy number(TrFN); Interval-valued intuitionistic fuzzy number(IVIFN); neutrosophic set and its operational laws; and, trapezoidal neutrosophic set(TrNS) and its operational laws. Based on the…

人工智能 · 计算机科学 2020-07-14 Kiran Khatter

Active Learning Method (ALM) is a soft computing method used for modeling and control based on fuzzy logic. All operators defined for fuzzy sets must serve as either fuzzy S-norm or fuzzy T-norm. Despite being a powerful modeling method,…

Information aggregation is a vital tool for human and machine decision making in the presence of uncertainty. Traditionally, approaches to aggregation broadly diverge into two categories, those which attribute a worth or weight to…

人工智能 · 计算机科学 2024-05-06 Stephen B. Broomell , Christian Wagner

Interval valued bipolar fuzzy weighted neutrosophic set(IVBFWN-set) is a new generalization of fuzzy set, bipolar fuzzy set, neutrosophic set and bipolar neutrosophic set so that it can handle uncertain information more flexibly in the…

综合数学 · 数学 2016-02-08 Irfan Deli , Yusuf Şubaş , Florentin Smaradache , Mumtaz Ali
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