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The concept of weighted $\beta\gamma$ - summability of order $\theta$ in case of fuzzy functions is introduced and classified into ordinary and absolute sense. Several inclusion relations among the sets are investigated. Also we have found…

General Mathematics · Mathematics 2020-04-23 Sarita Ojha , P. D. Srivastava

Attack trees are important for security, as they help to identify weaknesses and vulnerabilities in a system. Quantitative attack tree analysis supports a number security metrics, which formulate important KPIs such as the shortest, most…

Cryptography and Security · Computer Science 2024-01-24 Thi Kim Nhung Dang , Milan Lopuhaä-Zwakenberg , Mariëlle Stoelinga

Fuzzy optimization deals with the problem of determining 'optimal'solutions of an optimization problem when some of the elements that appear in the problem are not precise. In real situations it is usual to have information, in systems…

Optimization and Control · Mathematics 2009-08-27 Victor Blanco , Justo Puerto

In this paper we analyse the benefits of incorporating interval-valued fuzzy sets into the Bousi-Prolog system. A syntax, declarative semantics and im- plementation for this extension is presented and formalised. We show, by using potential…

Artificial Intelligence · Computer Science 2021-01-07 Clemente Rubio-Manzano , Martin Pereira-Fariña

This article deals with the complexity involved in fuzzy derivatives when both input and output are from nonempty, convex, and compact fuzzy space. Consider a fuzzy valued mapping, and for fuzzy differentiation of fuzzy valued function, we…

General Mathematics · Mathematics 2023-08-23 Purnima Pandit , Payal Singh

The purpose of this paper is to study the algorithm FCM and some of its famous innovations, analyse and discover the method of applying hedge algebra theory that uses algebra to represent linguistic-valued variables, to FCM. Then, this…

Machine Learning · Computer Science 2017-11-06 Hung Thai Le , Khang Ding Tran , Hung Van Le

Neural network models often generalize poorly to mismatched domains or distributions. In NLP, this issue arises in particular when models are expected to generalize compositionally, that is, to novel combinations of familiar words and…

Computation and Language · Computer Science 2021-11-10 Wang Zhu , Peter Shaw , Tal Linzen , Fei Sha

Important advances have been made in the fuzzy quantification field. Nevertheless, some problems remain when we face the decision of selecting the most convenient model for a specific application. In the literature, several desirable…

Artificial Intelligence · Computer Science 2019-02-19 F. Diaz-Hermida , M. Pereira-Fariña , Juan C. Vidal , A. Ramos-Soto

Fuzzy logic extends the classical truth values "true" and "false" with additional truth degrees in between. More specifically, fuzzy modal logics in this sense are given by a choice of fuzzy modalities and a fuzzy propositional base. It has…

Logic in Computer Science · Computer Science 2026-02-13 Stefan Gebhart , Lutz Schröder , Paul Wild

Seq2seq models have been shown to struggle with compositional generalization in semantic parsing, i.e. generalizing to unseen compositions of phenomena that the model handles correctly in isolation. We phrase semantic parsing as a two-step…

Computation and Language · Computer Science 2023-05-29 Matthias Lindemann , Alexander Koller , Ivan Titov

Image captioning models are usually evaluated on their ability to describe a held-out set of images, not on their ability to generalize to unseen concepts. We study the problem of compositional generalization, which measures how well a…

Machine Learning · Computer Science 2019-11-12 Mitja Nikolaus , Mostafa Abdou , Matthew Lamm , Rahul Aralikatte , Desmond Elliott

Fuzzy rule-based systems have been mostly used in interpretable decision-making because of their interpretable linguistic rules. However, interpretability requires both sensible linguistic partitions and small rule-base sizes, which are not…

Machine Learning · Computer Science 2025-12-15 Javier Fumanal-Idocin , Raquel Fernandez-Peralta , Javier Andreu-Perez

The introduction of embedding techniques has pushed forward significantly the Natural Language Processing field. Many of the proposed solutions have been presented for word-level encoding; anyhow, in the last years, new mechanism to treat…

Computation and Language · Computer Science 2023-04-07 Matteo Muffo , Roberto Tedesco , Licia Sbattella , Vincenzo Scotti

Type-based compositional distributional semantic models present an interesting line of research into functional representations of linguistic meaning. One of the drawbacks of such models, however, is the lack of training data required to…

Computation and Language · Computer Science 2017-05-08 Tamara Polajnar

Semantic parsing (SP) allows humans to leverage vast knowledge resources through natural interaction. However, parsers are mostly designed for and evaluated on English resources, such as CFQ (Keysers et al., 2020), the current standard…

Computation and Language · Computer Science 2022-06-01 Ruixiang Cui , Rahul Aralikatte , Heather Lent , Daniel Hershcovich

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

Dependence logic provides an elegant approach for introducing dependencies between variables into the object language of first-order logic. In [1] generalized quantifiers were introduced in this context. However, a satisfactory account was…

Logic · Mathematics 2024-04-29 Fredrik Engström

Originally inspired by categorical quantum mechanics (Abramsky and Coecke, LiCS'04), the categorical compositional distributional model of natural language meaning of Coecke, Sadrzadeh and Clark provides a conceptually motivated procedure…

Computation and Language · Computer Science 2015-02-05 Robin Piedeleu , Dimitri Kartsaklis , Bob Coecke , Mehrnoosh Sadrzadeh

In this paper, we give a constructive method for linear extensions of Zadeh's fuzzy orders. We also characterize Zadeh's fuzzy orders by their linear extensions.

Logic · Mathematics 2016-04-19 Abdelkader Stouti

The principle behind algebraic language theory for various kinds of structures, such as words or trees, is to use a compositional function from the structures into a finite set. To talk about compositionality, one needs some way of…

Logic in Computer Science · Computer Science 2015-02-18 Mikołaj Bojańczyk