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The relationship between fuzzy algebras and semirings is explored with fuzzy algebra operators replacing the arithmetic operators of semirings. A new class of fuzzy structures which are similar to semirings is defined. Results of partial…

Rings and Algebras · Mathematics 2010-03-15 V. S. S. Kartikeya Vanamali , Shrisha Rao

Previous researches have shown that learning multiple representations for polysemous words can improve the performance of word embeddings on many tasks. However, this leads to another problem. Several vectors of a word may actually point to…

Computation and Language · Computer Science 2017-01-09 Haoyue Shi , Caihua Li , Junfeng Hu

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

We provide a rigorous framework for handling uncertainty in quantitative fault tree analysis based on fuzzy theory. We show that any algorithm for fault tree unreliability analysis can be adapted to this framework in a fully general and…

General Mathematics · Mathematics 2026-01-29 Thi Kim Nhung Dang , Benedikt Peterseim , Milan Lopuhaä-Zwakenberg , Mariëlle Stoelinga

In this paper an enhanced fuzzy vault scheme is proposed which we refer to as fuzzy-fuzzy vault scheme. The proposed scheme builds on the classical fuzzy vault by adding the concept of uncertainty and imprecision to the classical scheme. To…

Cryptography and Security · Computer Science 2019-06-10 Khaled Ahmed Nagaty

Pythagorean fuzzy sets provide stronger ability than intuitionistic fuzzy sets to model uncertainty information and knowledge, but little effort has been paid to conflict analysis of Pythagorean fuzzy information systems. In this paper, we…

Artificial Intelligence · Computer Science 2017-07-13 Guangming Lang

An architecture of a new neuro-fuzzy system is proposed. The basic idea of this approach is to tune both synaptic weights and membership functions with the help of the supervised learning and self-learning paradigms. The approach to solving…

Artificial Intelligence · Computer Science 2016-10-21 Yevgeniy V. Bodyanskiy , Oleksii K. Tyshchenko , Anastasiia O. Deineko

A new approach for uncertainty management for fuzzy, rule based decision support systems is proposed: The domain expert's knowledge is expressed by a set of rules that frequently refer to vague and uncertain propositions. The certainty of…

Artificial Intelligence · Computer Science 2013-04-10 Christoph F. Eick

Evaluating argument strength in quantitative argumentation systems has received increasing attention in the field of abstract argumentation. The concept of acceptability degree is widely adopted in gradual semantics, however, it may not be…

Artificial Intelligence · Computer Science 2023-08-21 Zongshun Wang , Yuping Shen

We provide a complete description of the category of pseudo-categories (including pseudo-functors, natural and pseudo-natural transformations and pseudo modifications). A pseudo-category is a non strict version of an internal category. It…

Category Theory · Mathematics 2007-05-23 Nelson Martins Ferreira

Bigraphs and their algebra is a model of concurrency. Fuzzy bigraphs are a generalization of birgraphs intended to be a model of concurrency that incorporates vagueness. More specifically, this model assumes that agents are similar,…

Logic in Computer Science · Computer Science 2020-02-18 Apostolos Syropoulos

The future value of a security is described as a random variable. Distribution of this random variable is the formal image of risk uncertainty. On the other side, any present value is defined as a value equivalent to the given future value.…

General Finance · Quantitative Finance 2013-02-05 Krzysztof Piasecki

In this paper one presents new similarity, cardinality and entropy measures for bipolar fuzzy set and for its particular forms like intuitionistic, paraconsistent and fuzzy set. All these are constructed in the framework of multi-valued…

Artificial Intelligence · Computer Science 2015-06-09 Vasile Patrascu

The purpose of this paper is to investigate some properties of fuzzy ideals and fuzzy bi-ideals in gamma-semigroups and to introduce the notion of fuzzy quasi ideals in gamma-semigroups. Here we also characterize a regular gamma-semigroup…

General Mathematics · Mathematics 2011-02-02 Sujit Kumar Sardar , Samit Kumar Majumder , Soumitra Kayal

Starting from the primary representation of neutrosophic information, namely the degree of truth, degree of indeterminacy and degree of falsity, we define a nuanced representation in a penta valued fuzzy space, described by the index of…

Artificial Intelligence · Computer Science 2016-03-14 Vasile Patrascu

Metaphysical interpretations of set theory are either inconsistent or incoherent. The uses of sets in mathematics actually involve three distinct kinds of collections (surveyable, definite, and heuristic), which are governed by three…

History and Overview · Mathematics 2009-05-12 Nik Weaver

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…

Databases · Computer Science 2007-10-30 Haibin Wang , Rajshekhar Sunderraman , Florentin Smarandache , Andre Rogatko

This paper addresses fundamental issues on the nature of the concepts and structures of fuzzy logic, focusing, in particular, on the conceptual and functional differences that exist between probabilistic and possibilistic approaches. A…

Artificial Intelligence · Computer Science 2013-04-05 Enrique H. Ruspini

In this paper, we intend the concept of rough cubic Pythagorean fuzzy ideals in the semigroup. By using this notion, we discuss lower approximation and upper approximation of cubic Pythagorean fuzzy left (right) ideals, bi-ideals, interior…

General Mathematics · Mathematics 2023-02-06 V. Chinnadurai , A. Arulselvam

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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