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Temporally and spatially dependent uncertain parameters are regularly encountered in engineering applications. Commonly these uncertainties are accounted for using random fields and processes, which require knowledge about the appearing…

Numerical Analysis · Mathematics 2021-11-23 Jan Niklas Fuhg , Ioannis Kalogeris , Amélie Fau , Nikolaos Bouklas

In this work, we first define relations on the fuzzy parametrized soft sets and study their properties. We also give a decision making method based on these relations. In approximate reasoning, relations on the fuzzy parametrized soft sets…

Logic · Mathematics 2016-02-12 Irfan Deli , Naim Çağman

Transportation Problem is an important aspect which has been widely studied in Operations Research domain. It has been studied to simulate different real life problems. In particular, application of this Problem in NP- Hard Problems has a…

Artificial Intelligence · Computer Science 2013-07-09 Arindam Chaudhuri , Kajal De

Fuzzy sets are the cornerstone of a non-additive uncertainty theory, namely possibility theory, and of a versatile tool for both linguistic and numerical modeling. Numerous works now combine fuzzy concepts with other scientific disciplines…

Functional Analysis · Mathematics 2017-03-01 Murat Kirişci

Fuzzy systems concern fundamental methodology to represent and process uncertainty and imprecision in the linguistic information. The fuzzy systems that use fuzzy rules to represent the domain knowledge of the problem are known as Fuzzy…

Computer Vision and Pattern Recognition · Computer Science 2012-06-21 Koushik Mondal , Paramartha Dutta , Siddhartha Bhattacharyya

New concepts of rough natural number systems are introduced in this research paper from both formal and less formal perspectives. These are used to improve most rough set-theoretical measures in general Rough Set theory (\textsf{RST}) and…

Logic · Mathematics 2014-08-07 A. Mani

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 this paper an alternative approach to solve uncertain Stochastic Differential Equation (SDE) is proposed. This uncertainty occurs due to the involved parameters in system and these are considered as Triangular Fuzzy Numbers (TFN). Here…

Numerical Analysis · Computer Science 2015-02-11 Sukanta Nayak , Snehashish Chakraverty

This paper investigates fuzzy nonlinear system equations using an optimization approach. Here, the inner-outer direct search technique is used with fuzzy coefficients and vectors to quantify the uncertain solution. The fuzzy nonlinear…

Optimization and Control · Mathematics 2022-06-02 Paresh Kumar Panigrahi , Sukanta Nayak , Sudipta Priyadarshini

In this article, a new hesitancy fuzzy similarity measure is defined and then used to develop the matrix of hesitancy fuzzy similarity measures, which is subsequently used to classify hesitancy fuzzy graph using the working procedure. We…

Artificial Intelligence · Computer Science 2022-05-03 Rajagopal Reddy N , Sharief Basha Shaik

We introduce new types of systems of generalized quasi-variational inequalities and we prove the existence of the solutions by using results of pair equilibrium existence for free abstract economies. We consider the fuzzy models and we also…

Optimization and Control · Mathematics 2013-05-14 Monica Patriche

In this paper, we introduce a type of latticized optimization problem whose objective function is the maximum component function and the feasible region is defined as a system of fuzzy relational equalities (FRE) defined by the Dombi…

General Mathematics · Mathematics 2022-07-18 Amin Ghodousian , Sara Zal

New types of systems of fuzzy relation inequalities and equations, called weakly linear, have been recently introduced in [J. Ignjatovi\'c, M. \'Ciri\'c, S. Bogdanovi\'c, On the greatest solutions to weakly linear systems of fuzzy relation…

Social network analysis (SNA) helps us understand the relationships and interactions between individuals, groups, organizations, or other social entities. In the literature, ties are generally considered binary or weighted based on their…

Methodology · Statistics 2024-11-18 Annamaria Porreca , Fabrizio Maturo , Viviana Ventre

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…

In this paper, systems of linear differential equations with crisp real coefficients and with initial condition described by a vector of fuzzy numbers are studied. A new method based on the geometric representations of linear…

Numerical Analysis · Computer Science 2011-11-03 N. Gasilov , Sh. G. Amrahov , A. Golayoglu Fatullayev

Within the framework proposed in this paper, we address the issue of extending the certain networks to a fuzzy certain networks in order to cope with a vagueness and limitations of existing models for decision under imprecise and uncertain…

Artificial Intelligence · Computer Science 2012-06-06 Abdelkader Heni , Mohamed Nazih Omri , Adel Alimi

The rough-set theory proposed by Pawlak, has been widely used in dealing with data classification problems. The original rough-set model is, however, quite sensitive to noisy data. Tzung thus proposed deals with the problem of producing a…

Data Structures and Algorithms · Computer Science 2012-04-09 Ali Soltan Mohammadi , L. Asadzadeh , D. D. Rezaee

Diversification of DB applications highlighted the limitations of relational database management system (RDBMS) particularly on the modeling plan. In fact, in the real world, we are increasingly faced with the situation where applications…

Databases · Computer Science 2019-04-30 Ines Benali-Sougui , Minyar Sassi Hidri , Amel Grissa-Touzi

A model to represent spatial information is presented in this paper. It is based on fuzzy constraints represented as fuzzy geometric relations that can be hierarchically structured. The concept of spatial template is introduced to capture…

Artificial Intelligence · Computer Science 2013-02-28 Stephane Lapointe , Rene Proulx