Generating Fuzzy Sets and Fuzzy Relations Based on Information

Intuitionistic Fuzzy Sets (IFSs) and rough sets depending on covering are important theories for dealing with uncertainty and inexact problems. We think the neighborhood of an element is more realistic than any cluster in the processes of classification and approximation. So, we introduce intuitionistic fuzzy sets on the space of rough sets based on covering by using the concept of the neighborhood. Three models of intuitionistic fuzzy set approximation space based on covering are defined by using the concept of neighborhood. In the first and second model, we approximate IFS by rough set based on one covering (C) by defining membership and non-membership degree depending on the neighborhood. In the third mode, we approximate IFS by rough set based on family of covering (Ci) by defining membership and non-membership degree depending on the neighborhood. We employ the notion of the neighborhood to prove the definitions and the features of these models. Finlay, we give an illustrative example for the new covering rough IF approximation structure.

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On Covering-Based Rough Intuitionistic Fuzzy Sets

Mareay

Noaman

Abu-Gdairi

et al. 2022

Mathematics

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A Comprehensive Study on Pythagorean Fuzzy Normal Subgroups and Pythagorean Fuzzy Isomorphisms

et al. 2022

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The Pythagorean fuzzy set is an extension of the intuitionistic fuzzy set used to handle uncertain circumstances in various decisions making problems. Group theory is a mathematical technique for dealing with problems of symmetry. This study deals with Pythagorean fuzzy group theory. In this article, we characterize the notion of a Pythagorean fuzzy subgroup and examine various algebraic properties of this concept. An extensive study on Pythagorean fuzzy cosets of a Pythagorean fuzzy subgroup, Pythagorean fuzzy normal subgroups of a group and Pythagorean fuzzy normal subgroup of a Pythagorean fuzzy subgroup is performed. We define the notions of Pythagorean fuzzy homomorphism and isomorphism and generalize the notion of factor group of a classical group relative to its normal subgroup by defining a PFSG of . At the end, the Pythagorean fuzzy version of fundamental theorems of isomorphisms is proved.

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Realization and Control of a Mobile Robot based on a Dynamic Model with the Implementation of Artificial Intelligence

Tich

Inel²,

Khadem³

2022

Wseas Transactions on Systems

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In this paper, a mobile robot (tricycle robot) and its kinematic and dynamic model are presented. Moreover, its simulation and model control are derived. For a mobile robot to be autonomous, it must perform command tasks and perceive the environment. In this context, navigation plays an important role in the interaction of the robot with its environment. It consists in the determination of possible trajectories by the robot to follow a predefined trajectory. To accomplish this task, our approach relies on the dynamic motion of the robot to generate admissible trajectories. The reference trajectory is first constructed based on a predefined trajectory. To eliminate the navigation problem, an optimization problem with constraints, it is necessary to reduce the difference between the predicted trajectory of the robot and the desired trajectory. Moreover, it is possible to control the behaviour of the robot by using a trajectory parameterized with the dynamic model and its control. Finally, the display of experimental results up to the implementation of the object detection.

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Generating Fuzzy Sets and Fuzzy Relations Based on Information

Cited by 3 publications

References 13 publications

On Covering-Based Rough Intuitionistic Fuzzy Sets

On Covering-Based Rough Intuitionistic Fuzzy Sets

A Comprehensive Study on Pythagorean Fuzzy Normal Subgroups and Pythagorean Fuzzy Isomorphisms

Realization and Control of a Mobile Robot based on a Dynamic Model with the Implementation of Artificial Intelligence

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