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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

L.A.Zadeh introduced the concept of fuzzy set theory as the generalization of classical set theory in 1965 and further it has been generalized to intuitionistic fuzzy sets (IFSs) by Atanassov in 1983 to model information by the membership,…

General Mathematics · Mathematics 2016-02-05 V. Lakshmana Gomathi Nayagam , Jeevaraj. S , Geetha Sivaraman

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 develops a category-theoretic approach to uncertainty, informativeness and decision-making problems. It is based on appropriate first order fuzzy logic in which not only logical connectives but also quantifiers have fuzzy…

General Mathematics · Mathematics 2007-05-23 P. V. Golubtsov , S. S. Moskaliuk

In fuzzy theory of sets and groups, the use of $\alpha$--levels is a standard to translate problems from the fuzzy to the crisp framework. Using strong $\alpha$--levels, it is possible to establish a one to one correspondence which makes…

Logic · Mathematics 2021-02-08 Josefa M. Garcia , Pascual Jara

This paper addresses the task of extending a given synset with additional synonyms taking into account synonymy strength as a fuzzy value. Given a mono/multilingual synset and a threshold (a fuzzy value [0-1]), our goal is to extract new…

Computation and Language · Computer Science 2023-02-09 Sana Ghanem , Mustafa Jarrar , Radi Jarrar , Ibrahim Bounhas

In data dominated systems and applications, a concept of representing words in a numerical format has gained a lot of attention. There are a few approaches used to generate such a representation. An interesting issue that should be…

Computation and Language · Computer Science 2020-12-08 Shahin Atakishiyev , Marek Z. Reformat

Measuring the distance between concepts is an important field of study of Natural Language Processing, as it can be used to improve tasks related to the interpretation of those same concepts. WordNet, which includes a wide variety of…

Computation and Language · Computer Science 2018-04-30 Raquel Pérez-Arnal , Armand Vilalta , Dario Garcia-Gasulla , Ulises Cortés , Eduard Ayguadé , Jesus Labarta

A widely acknowledged shortcoming of WordNet is that it lacks a distinction between word meanings which are systematically related (polysemy), and those which are coincidental (homonymy). Several previous works have attempted to fill this…

Computation and Language · Computer Science 2022-12-19 Rowan Hall Maudslay , Simone Teufel

This paper presents a new model of WordNet that is used to disambiguate the correct sense of polysemy word based on the clue words. The related words for each sense of a polysemy word as well as single sense word are referred to as the clue…

Computation and Language · Computer Science 2014-09-12 Udaya Raj Dhungana , Subarna Shakya , Kabita Baral , Bharat Sharma

This paper introduces the concept of kernels on fuzzy sets as a similarity measure for $[0,1]$-valued functions, a.k.a. \emph{membership functions of fuzzy sets}. We defined the following classes of kernels: the cross product, the…

Machine Learning · Computer Science 2019-07-31 Jorge Guevara , Roberto Hirata , Stéphane Canu

The concept of uncertainty is posed in almost any complex system including parallel robots as an outstanding instance of dynamical robotics systems. As suggested by the name, uncertainty, is some missing information that is beyond the…

Systems and Control · Computer Science 2016-12-06 Hamid Reza Hassanzadeh

We propose semantic fusion, a lightweight scheme that augments a Transformer language model (LM) with a parallel, fuzzy-membership feature channel that encodes token-level semantics. Each token is represented by a vector of interpretable…

Artificial Intelligence · Computer Science 2025-09-18 Yongchao Huang , Hassan Raza

Wordnets are rich lexico-semantic resources. Linked wordnets are extensions of wordnets, which link similar concepts in wordnets of different languages. Such resources are extremely useful in many Natural Language Processing (NLP)…

Computation and Language · Computer Science 2022-01-06 Kevin Patel , Diptesh Kanojia , Pushpak Bhattacharyya

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

An important constraint of Fuzzy Inference Systems (FIS) is their structured rules defined based on evaluating all input variables. Indeed, the length of all fuzzy rules and the number of input variables are equal. However, in many…

Artificial Intelligence · Computer Science 2024-02-26 Armin Salimi-Badr

Here a novel idea to handle imprecise or vague set viz. Pseudo fuzzy set has been proposed. Pseudo fuzzy set is a triplet of element and its two membership functions. Both the membership functions may or may not be dependent. The hypothesis…

Artificial Intelligence · Computer Science 2015-02-23 Sukanta Nayak , Snehashish Chakraverty

We propose Semantic F1 Scores, novel evaluation metrics for subjective or fuzzy multi-label classification that quantify semantic relatedness between predicted and gold labels. Unlike the conventional F1 metrics that treat semantically…

Artificial Intelligence · Computer Science 2025-09-29 Georgios Chochlakis , Jackson Trager , Vedant Jhaveri , Nikhil Ravichandran , Alexandros Potamianos , Shrikanth Narayanan

In this paper implication-based intuitionistic fuzzy finite state machine otherwise called as Implication-based intuitionistic fuzzy semiautomaton (IB-IFSA) over a finite group is defined and investigated intensively. The abstraction of…

General Mathematics · Mathematics 2019-06-26 M. Selvarathi

In this paper the Distributed Consensus and Synchronization problems with fuzzy-valued initial conditions are introduced, in order to obtain a shared estimation of the state of a system based on partial and distributed observations, in the…

Systems and Control · Computer Science 2015-03-19 Stefano Panzieri , Gabriele Oliva , Roberto Setola