Data granulation by the principles of uncertainty [PDF]
Researches in granular modeling produced a variety of mathematical models, such as intervals, (higher-order) fuzzy sets, rough sets, and shadowed sets, which are all suitable to characterize the so-called information granules.
Livi, Lorenzo, Sadeghian, Alireza
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Towards Interval Type-3 Intuitionistic Fuzzy Sets and Systems
In this work, several types of intuitionistic fuzzy sets, inspired by Type-2 and Type-3 concepts, are introduced. In particular, the newly proposed interval Type-3 intuitionistic sets are very interesting as they extend the opportunities of both interval
Oscar Castillo, Patricia Melin
doaj +1 more source
On Kemeny Optimization Scheme for Fuzzy Set of Relations
The present paper investigated the aggregation of individual preferences into a group fuzzy preference relation for a fuzzy set of decision-makers (DMs). This aggregation is based on the Kemeny optimization scheme.
Serhii O. Mashchenko +2 more
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Interval type-2 fuzzy modelling and stochastic search for real-world inventory management [PDF]
Real-world systems present a variety of challenges to the modeller, not least of which is the problem of uncertainty inherent in their operation. In this research, an interval type-2 fuzzy model is applied to a real-world problem, the goal being to ...
D Petrovic +24 more
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Extensionality with respect to indistinguishability operators [PDF]
Extensionality is explored form different points of view. Extensional fuzzy subsets from a fuzzy equivalence relation E are considered as observable subsets with respect to the granularity generated by E.
Boixader Ibáñez, Dionís +1 more
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Applying interval type-2 fuzzy rule based classifiers through a cluster-based class representation [PDF]
Fuzzy Rule-Based Classification Systems (FRBCSs) have the potential to provide so-called interpretable classifiers, i.e. classifiers which can be introspective, understood, validated and augmented by human experts by relying on fuzzy-set based rules ...
Aickelin, Uwe +2 more
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Comments on: Interval Type-2 Fuzzy Sets are generalization of Interval-Valued Fuzzy Sets: Towards a Wider view on their relationship [PDF]
This Letter makes some observations about [2] that further support the distinction between an interval type-2 fuzzy set (IT2 FS) and an interval-valued fuzzy set (IV FS), points out that all operations, methods and systems that have been developed and ...
Bustince, H +3 more
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Type-2 Fuzzy Soft Sets and Their Applications in Decision Making
Molodtsov introduced the theory of soft sets, which can be used as a general mathematical tool for dealing with uncertainty. This paper aims to introduce the concept of the type-2 fuzzy soft set by integrating the type-2 fuzzy set theory and the soft set
Zhiming Zhang, Shouhua Zhang
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Interval Type-3 Fuzzy Inference System Design for Medical Classification Using Genetic Algorithms
An essential aspect of healthcare is receiving an appropriate and opportune disease diagnosis. In recent years, there has been enormous progress in combining artificial intelligence to help professionals perform these tasks. The design of interval Type-3
Patricia Melin +2 more
doaj +1 more source
Fuzzy spheres from inequivalent coherent states quantizations [PDF]
We present a new procedure which allows a coherent state (CS) quantization of any set with a measure. It is manifest through the replacement of classical observables by CS quantum observables, which acts on a Hilbert space of prescribed dimension $N ...
Gazeau, Jean-Pierre +3 more
core +5 more sources

