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Most of the research related to Non Functional Requirements (NFRs) have presented NFRs frameworks by integrating non functional requirements with functional requirements while we proposed that measurement of NFRs is possible e.g. cost and…

软件工程 · 计算机科学 2009-07-01 Nasir Mahmood Malik , Arif Mushtaq , Samina Khalid , Tehmina Khalil , Faisal Munir Malik

The new concept of fuzzy interval matrices has been introduced in this book for the first time. The authors have not only introduced the notion of fuzzy interval matrices, interval neutrosophic matrices and fuzzy neutrosophic interval…

综合数学 · 数学 2007-05-23 W. B. Vasantha Kandasamy , Florentin Smarandache

The fuzzy ROC extends Receiver Operating Curve (ROC) visualization to the situation where some data points, falling in an indeterminacy region, are not classified. It addresses two challenges: definition of sensitivity and specificity…

其他统计学 · 统计学 2019-03-06 Giovanni Parmigiani

In this paper, an optimization model with a linear objective function subjected to a system of fuzzy relation equations (FRE) is studied where the feasible region is defined by the Dombi t-norm. Dombi family of t-norms includes a parametric…

综合数学 · 数学 2022-07-14 Amin Ghodousian , Sara Zal

The aim of this research is to apply a novel technique based on the embedding method to solve the n*n fuzzy system of linear equations (FSLEs). By using this method, the strong fuzzy number solutions of FSLEs can be obtained by transforming…

综合数学 · 数学 2020-05-26 Nasser Mikaeilvand , Zahra Noeiaghdam , Samad Noeiaghdam , Juan J. Nieto

This book gives the basic notions of fuzzy matrix theory and its applications to simple fuzzy models. The approach is non-traditional in order to attract many students to use this methodology in their research. The traditional approach of…

综合数学 · 数学 2007-05-23 W. B. Vasantha Kandasamy , Florentin Smarandache , K. Ilanthenral

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

数据库 · 计算机科学 2007-10-30 Haibin Wang , Rajshekhar Sunderraman , Florentin Smarandache , Andre Rogatko

In this book we study the concepts of Fuzzy Cognitive Maps (FCMs) and their Neutrosophic analogue, the Neutrosophic Cognitive Maps (NCMs).Fuzzy Cognitive Maps are fuzzy structures that strongly resemble neural networks, and they have…

综合数学 · 数学 2007-05-23 Dr. W. B. Vasantha Kandasamy , Florentin Smarandache

Risk specialists are trying to understand risk better and use complex models for risk assessment, while many risks are not yet well understood. The lack of empirical data and complex causal and outcome relationships make it difficult to…

人工智能 · 计算机科学 2020-09-22 Hengameh Fakhravar

Fuzzy rule based systems (FRBSs) is a rule-based system which uses linguistic fuzzy variables as antecedents and consequent to represent human understandable knowledge. They have been applied to various applications and areas throughout the…

人工智能 · 计算机科学 2023-05-30 Ayush K. Varshney , Vicenç Torra

Inconsistency in prediction problems occurs when instances that relate in a certain way on condition attributes, do not follow the same relation on the decision attribute. For example, in ordinal classification with monotonicity…

人工智能 · 计算机科学 2021-11-29 Marko Palangetić , Chris Cornelis , Salvatore Greco , Roman Słowiński

In this paper, a linear programming problem is investigated in which the feasible region is formed as a special type of fuzzy relational equalities (FRE). In this type of FRE, fuzzy composition is considered as the weighted power mean…

综合数学 · 数学 2022-07-14 Amin Ghodousian , Sara Zal

To deal with uncertainty in reasoning, interval-valued logic has been developed. But uniform intervals cannot capture the difference in degrees of belief for different values in the interval. To salvage the problem triangular and…

人工智能 · 计算机科学 2020-01-08 Sandip Paul , Kumar Sankar Ray , Diganta Saha

Fuzzy data, prevalent in social sciences and other fields, capture uncertainties arising from subjective evaluations and measurement imprecision. Despite significant advancements in fuzzy statistics, a unified inferential regression-based…

统计方法学 · 统计学 2025-06-05 Antonio Calcagnì , Przemysław Grzegorzewski , Maciej Romaniuk

Bipolar fuzzy relation equations arise as a generalization of fuzzy relation equations considering unknown variables together with their logical connective negations. The occurrence of a variable and the occurrence of its negation…

人工智能 · 计算机科学 2024-10-07 M. Eugenia Cornejo , David Lobo , Jesús Medina

Fractional Differential Equations (FDEs) are essential tools for modelling complex systems in science and engineering. They extend the traditional concepts of differentiation and integration to non-integer orders, enabling a more precise…

机器学习 · 计算机科学 2025-03-27 C. Coelho , M. Fernanda P. Costa , L. L. Ferrás

Preference relations (PRs) are widely used to model expert judgments because they allow for eliciting the decision-makers' opinions from pairwise comparisons. Traditionally, PRs have been elicited using real numbers. However, in real-world…

综合数学 · 数学 2025-11-18 Lei He , Diego García-Zamora , Yuming Zhu , Luis Martínez

Combinatorics studies how discrete objects can be counted, arranged, and combined under specified rules. Motivated by uncertainty in real-world data and decisions, modern set-theoretic formalisms such as fuzzy sets, neutrosophic sets, rough…

人工智能 · 计算机科学 2026-02-24 Takaaki Fujita , Florentin Smarandache

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…

应用统计 · 统计学 2022-01-27 Antonio Calcagnì , Niccolò Cao , Enrico Rubaltelli , Luigi Lombardi

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…

数据库 · 计算机科学 2023-11-08 Kevin Min , Hayden Jananthan , Jeremy Kepner