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Study of soft sets was first proposed by Molodtsov in 1999 to deal with uncertainty in a non-parametric manner. The researchers did not pay attention to soft set theory at that time but now the soft set theory has been developed in many…

Artificial Intelligence · Computer Science 2014-08-26 Florentin Smarandache , Mumtaz Ali , Muhammad Shabir

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…

Artificial Intelligence · Computer Science 2020-07-14 Kiran Khatter

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…

General Mathematics · Mathematics 2016-02-08 Irfan Deli , Yusuf Şubaş , Florentin Smaradache , Mumtaz Ali

Computer vision applications are omnipresent nowadays. The current paper explores the use of fuzzy logic in computer vision, stressing its role in handling uncertainty, noise, and imprecision in image data. Fuzzy logic is able to model…

Computer Vision and Pattern Recognition · Computer Science 2025-07-28 Adilet Yerkin , Ayan Igali , Elnara Kadyrgali , Maksat Shagyrov , Malika Ziyada , Muragul Muratbekova , Pakizar Shamoi

In this book, the authors define several new types of soft neutrosophic algebraic structures over neutrosophic algebraic structures and we study their generalizations. These soft neutrosophic algebraic structures are basically parameterized…

General Mathematics · Mathematics 2014-09-15 Mumtaz Ali , Florentin Smarandache , Muhammad Shabir

In this book we use only special types of intervals and introduce the notion of different types of interval linear algebras and interval vector spaces using the intervals of the form [0, a] where the intervals are from Zn or Z+ \cup {0} or…

General Mathematics · Mathematics 2010-12-14 W. B. Vasantha Kandasamy , Florentin Smarandache

In this paper the author presents a kind of Soft Computing Technique, mainly an application of fuzzy set theory of Prof. Zadeh [16], on a problem of Medical Experts Systems. The choosen problem is on design of a physician's decision model…

Artificial Intelligence · Computer Science 2010-05-24 Siddharths Sankar Biswas

Generally any real-world problem is not always solvable, because in that not only a percentage of uncertainty is present, but also, a certain percentage of indeterminacy is present. The presence of uncertainty has been analyzed using fuzzy…

General Mathematics · Mathematics 2007-05-23 W. B. Vasantha Kandasamy , Florentin Smarandache , K. Ilanthenral

This article is the first of an intended series of works on the model theory of Ultrafinitism. It is roughly divided into two parts. The first one addresses some of the issues related to ultrafinitistic programs, as well as some of the core…

Logic in Computer Science · Computer Science 2007-05-23 Mirco A. Mannucci , Rose M. Cherubin

In this paper we present a new concept called generalized neutrosophic soft set. This concept incorporates the beneficial properties of both generalized neutrosophic set introduced by A.A. Salama [7]and soft set techniques proposed by…

Artificial Intelligence · Computer Science 2013-05-14 Said Broumi

Fuzzy implication functions are a key area of study in fuzzy logic, extending the classical logical conditional to handle truth degrees in the interval $[0,1]$. While existing literature often focuses on a limited number of families, in the…

Artificial Intelligence · Computer Science 2025-03-11 Raquel Fernandez-Peralta

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

In this paper, we introduce concept of bipolar neutrosophic set and its some operations. Also, we propose score, certainty and accuracy functions to compare the bipolar neutrosophic sets. Then, we develop the bipolar neutrosophic weighted…

General Mathematics · Mathematics 2016-02-12 Irfan Deli , Mumtaz Ali , Florentin Smarandache

We present a unified logical framework for representing and reasoning about both quantitative and qualitative preferences in fuzzy answer set programming, called fuzzy answer set optimization programs. The proposed framework is vital to…

Artificial Intelligence · Computer Science 2013-04-11 Emad Saad

Interpolation is an important property of classical and many non-classical logics that has been shown to have interesting applications in computer science and AI. Here we study the Interpolation Property for the the non-monotonic system of…

Logic in Computer Science · Computer Science 2014-01-17 Dov Gabbay , David Pearce , Agustín Valverde

Concepts of graph theory have applications in many areas of computer science including data mining, image segmentation, clustering, image capturing, networks, etc . An interval-valued fuzzy set is a generalization of the notion of a fuzzy…

Discrete Mathematics · Computer Science 2014-01-07 Hossein Rashmanlou , Madhumangal Pal

This technical report describes the usage, syntax, semantics and core algorithms of the probabilistic inductive logic programming framework PrASP. PrASP is a research software which integrates non-monotonic reasoning based on Answer Set…

Artificial Intelligence · Computer Science 2017-01-02 Matthias Nickles

In this paper, the concept of neutrosophic soft filter and its basic properties are introduced. Later, we set up a neutrosophic soft topology with the help of a neutrosophic soft filter. We also give the notions of the greatest lower bound…

General Mathematics · Mathematics 2021-03-02 Naime Demirtas

The authors in this book introduce the notion of special set linear algebra and special set fuzzy Linear algebra, which is an extension of the notion set linear algebra and set fuzzy linear algebra. These concepts are best suited in the…

General Mathematics · Mathematics 2009-12-31 W. B. Vasantha Kandasamy , Florentin Smarandache , K. Ilanthenral

In this paper, we introduce Interval Real Logic (IRL), a two-sorted logic that interprets knowledge such as sequential properties (traces) and event properties using sequences of real-featured data. We interpret connectives using fuzzy…

Artificial Intelligence · Computer Science 2023-04-03 Samy Badreddine , Gianluca Apriceno , Andrea Passerini , Luciano Serafini