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In this paper, generalised intuitionistic fuzzy soft sets and relations on generalised intuitionistic fuzzy soft sets are defined and a few of their properties are studied. An application of generalised intuitionistic fuzzy soft sets in…

综合数学 · 数学 2010-10-13 Bivas Dinda , Tuhin Bera , T. K. Samanta

Presentation of set matrices and demonstration of their efficiency as a tool using the path/cycle problem.

离散数学 · 计算机科学 2007-09-28 Sergey Gubin

Calibration weighting has been widely used to correct selection biases in non-probability sampling, missing data, and causal inference. The main idea is to calibrate the biased sample to the benchmark by adjusting the subject weights.…

统计方法学 · 统计学 2023-05-30 Chenyin Gao , Shu Yang , Jae Kwang Kim

Soft set theory and rough set theory are mathematical tools to deal with uncertainties. In [3], authors combined these concepts and introduced soft rough sets. In this paper, we introduce the concepts of soft rough graphs, vertex and edge…

综合数学 · 数学 2017-07-20 R. Noor , I. Irshad , I. Javaid

Soft-growing robots are innovative devices that feature plant-inspired growth to navigate environments. Thanks to their embodied intelligence of adapting to their surroundings and the latest innovation in actuation and manufacturing, it is…

机器人学 · 计算机科学 2025-01-24 Fabio Stroppa

Molodtsov \cite{molodtsov-1999} proposed the concept of soft set theory in 1999, which can be used as a mathematical tool for dealing with problems that contain uncertainty. Sabir and Naz \cite{shabir-2013} defined notion of bipolar soft…

综合数学 · 数学 2016-01-21 Faruk Karaaslan , Serkan Karataş

This paper presents new approaches for finding the determinant and inverse of a matrix. The choice of pivot selection is kept arbitrary and can be made according to the users need. So the ill conditioned matrices can be handled easily. The…

Rough sets were proposed to deal with the vagueness and incompleteness of knowledge in information systems. There are may optimization issues in this field such as attribute reduction. Matroids generalized from matrices are widely used in…

人工智能 · 计算机科学 2015-03-13 Aiping Huang , William Zhu

We study the following optimization problem over a dynamical system that consists of several linear subsystems: Given a finite set of $n\times n$ matrices and an $n$-dimensional vector, find a sequence of $K$ matrices, each chosen from the…

最优化与控制 · 数学 2020-02-17 Zeyang Wu , Qie He

We present a hybrid algorithm for optimizing a convex, smooth function over the cone of positive semidefinite matrices. Our algorithm converges to the global optimal solution and can be used to solve general large-scale semidefinite…

机器学习 · 计算机科学 2012-06-22 Soeren Laue

Decision-making is a process of choosing among alternative courses of action for solving complicated problems where multi-criteria objectives are involved. The past few years have witnessed a growing recognition of Soft Computing (SC)…

人工智能 · 计算机科学 2007-05-23 Cong Tran , Ajith Abraham , Lakhmi Jain

In this study, after given the definition of soft sets and their basic operations we define convex soft sets which is an important concept for operation research, optimization and related problems. Then, we define concave soft sets and give…

综合数学 · 数学 2013-07-19 Irfan Deli

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…

人工智能 · 计算机科学 2007-05-23 Sonja Petrovic-Lazarevic , Ajith Abraham

The purpose of the present review is to discuss the role of Soft Computing techniques in understanding the complexity associated with atmospheric phenomena and thus developing predictive models. Problems in atmospheric data analysis are…

适应与自组织系统 · 物理学 2007-05-23 Surajit Chattopadhyay

We discuss the question of how to pick a matrix uniformly (in an appropriate sense) at random from groups big and small. We give algorithms in some cases, and indicate interesting problems in others.

群论 · 数学 2013-12-18 Igor Rivin

We use soft heaps to obtain simpler optimal algorithms for selecting the $k$-th smallest item, and the set of~$k$ smallest items, from a heap-ordered tree, from a collection of sorted lists, and from $X+Y$, where $X$ and $Y$ are two…

数据结构与算法 · 计算机科学 2018-02-21 Haim Kaplan , László Kozma , Or Zamir , Uri Zwick

We provide a perspective on soft metamaterials and biomatter with a special emphasis on future research directions at the interface between material intelligence and adaptation.

软凝聚态物质 · 物理学 2025-07-15 Colin Scheibner , Michel Fruchart , Vincenzo Vitelli

Recommender systems are being employed across an increasingly diverse set of domains that can potentially make a significant social and individual impact. For this reason, considering fairness is a critical step in the design and evaluation…

信息检索 · 计算机科学 2020-09-21 Charles Dickens , Rishika Singh , Lise Getoor

We consider the matrix completion problem where the aim is to esti-mate a large data matrix for which only a relatively small random subset of its entries is observed. Quite popular approaches to matrix completion problem are iterative…

统计理论 · 数学 2015-02-03 Olga Klopp

Organisations, whether in government, industry or commerce, are required to make decisions in a complex and uncertain environment. The way models are used is intimately connected to the way organisations make decisions and the context in…

其他统计学 · 统计学 2020-08-28 Chris J Dent , Michael Goldstein , Andrew Wright , Henry P. Wynn