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The average uncertainty associated with words is an information-theoretic concept at the heart of quantitative and computational linguistics. The entropy has been established as a measure of this average uncertainty - also called average…

Computation and Language · Computer Science 2016-06-23 Christian Bentz , Dimitrios Alikaniotis

The class of radial fuzzy systems is introduced. The fuzzy systems in this class use radial functions to implement membership functions of fuzzy sets and exhibit a shape preservation property in antecedents of their rules. The property is…

Systems and Control · Computer Science 2016-02-18 David Coufal

A fuzzy inference system was developed for predicting the heat index from temperature and relative humidity data. The effectiveness of fuzzy logic in using imprecise mapping of input to output to encode interconnectedness of system…

Machine Learning · Computer Science 2022-10-31 Nnamdi Uzoukwu , Acep Purqon

Fuzzing is one of the key techniques for evaluating the robustness of programs against attacks. Fuzzing has to be effective in producing inputs that cover functionality and find vulnerabilities. But it also has to be efficient in producing…

Software Engineering · Computer Science 2019-11-19 Rahul Gopinath , Andreas Zeller

The distribution of frequency counts of distinct words by length in a language's vocabulary will be analyzed using two methods. The first, will look at the empirical distributions of several languages and derive a distribution that…

Computation and Language · Computer Science 2012-07-17 Reginald D. Smith

A fuzzer provides randomly generated inputs to a targeted software to expose erroneous behavior. To efficiently detect defects, generated inputs should conform to the structure of the input format and thus, grammars can be used to generate…

Software Engineering · Computer Science 2020-08-05 Martin Eberlein , Yannic Noller , Thomas Vogel , Lars Grunske

In this paper, we mainly discuss the constructions and the characteristics of betweenness relations and fuzzy betweenness relations in KM-fuzzy metric spaces. And the family of betweenness relations induced by a KM-fuzzy metric form a nest…

General Mathematics · Mathematics 2026-03-24 Yu Zhong

This paper mainly focuses on (1) a generalized treatment of fuzzy sets of type $n$, where $n$ is an integer larger than or equal to $1$, with an example, mathematical discussions, and real-life interpretation of the given mathematical…

Artificial Intelligence · Computer Science 2022-10-04 Anahita Jamshidnejad

The paper presents an extension of Shannon fuzzy entropy for intuitionistic fuzzy one. Firstly, we presented a new formula for calculating the distance and similarity of intuitionistic fuzzy information. Then, we constructed measures for…

Artificial Intelligence · Computer Science 2018-07-09 Vasile Patrascu

In practice, a ranking of objects with respect to given set of criteria is of considerable importance. However, due to lack of knowledge, information of time pressure, decision makers might not be able to provide a (crisp) ranking of…

Artificial Intelligence · Computer Science 2017-03-16 Jiří Mazurek

Fuzzing has been incredibly successful in uncovering bugs and vulnerabilities across diverse software systems. JSON parsers play a vital role in modern software development, and ensuring their reliability is of great importance. This…

Software Engineering · Computer Science 2024-10-31 Zhiyuan Zhong , Zhezhen Cao , Zhanwei Zhang

Real-world phenomena often exhibit vagueness, partial truth, and incomplete information. To model such uncertainty in a mathematically rigorous way, many generalized set-theoretic frameworks have been introduced, including Fuzzy Sets [1],…

Artificial Intelligence · Computer Science 2026-03-18 Takaaki Fujita , Florentin Smarandache

The concepts of fuzzy objects and their classes are described that make it possible to structurally represent knowledge about fuzzy and partially-defined objects and their classes. Operations over such objects and classes are also proposed…

Artificial Intelligence · Computer Science 2016-02-17 D. A. Terletskyi , A. I. Provotar

This research concerns the estimation of latent linear or polychoric correlations from fuzzy frequency tables. Fuzzy counts are of particular interest to many disciplines including social and behavioral sciences, and are especially relevant…

Methodology · Statistics 2022-11-22 Antonio Calcagnì

P systems with active membranes were used to generate languages, in the sense of languages associated with the structure of membrane systems. Here, we analyze the power of P systems with membrane creation and dissolution restricted to…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-08-18 Rama Raghavan , H. Ramesh , Marian Gheorghe , Shankara Narayanan Krishna

This book has five chapters. Chapter one is introductory in nature. Fuzzy linguistic spaces are introduced in chapter two. Fuzzy linguistic vector spaces are introduced in chapter three. Chapter four introduces fuzzy linguistic models. The…

General Mathematics · Mathematics 2012-03-06 W. B. Vasantha Kandasamy , Florentin Smarandache , K. Amal

We introduce the concept of indexed identity, where the usual notion of identity is a particular case. Our mathematical framework allows us a generalized method for `indexing' predicates, which corresponds to `fuzzification' of properties,…

Logic · Mathematics 2007-05-23 Adonai S. Sant'Anna

The paper introduces fuzzy linguistic logic programming, which is a combination of fuzzy logic programming, introduced by P. Vojtas, and hedge algebras in order to facilitate the representation and reasoning on human knowledge expressed in…

Logic in Computer Science · Computer Science 2009-04-06 Van Hung Le , Fei Liu , Dinh Khang Tran

Using the concept of fuzzy field, we have considered the fuzzy field of real and complex numbers and thereafter we have established a few standard results of real and complex numbers with respect to a membership function.

General Mathematics · Mathematics 2008-05-07 T. K. Samanta

The concept of fuzzy cardinal semantic transformation as a basis for creating fuzzy semantic numeration systems is introduced in this work. Both fuzziness of the initial data - cardinals of abstract entities - and fuzziness of the…

Artificial Intelligence · Computer Science 2022-06-24 Alexander Chunikhin , Vadym Zhytniuk
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