scholarly journals On Fuzzy Corsini's Hyperoperations

2012 ◽  
Vol 2012 ◽  
pp. 1-9
Author(s):  
Yuming Feng ◽  
P. Corsini
Keyword(s):  
Fuzzy Relations ◽  
Basic Properties ◽  
The Relationship

We generalize the concept of C-hyperoperation and introduce the concept of F-C-hyperoperation. We list some basic properties of F-C-hyperoperation and the relationship between the concept of C-hyperoperation and the concept of F-C-hyperoperation. We also research F-C-hyperoperations associated with special fuzzy relations.

scholarly journals On an invariant distance induced by the Szegő Kernel

2021 ◽  
Vol 7 (3) ◽  
Author(s):  
Steven G. Krantz ◽  
Paweł M. Wójcicki
Keyword(s):  
Szegö Kernel ◽  
Basic Properties ◽  
Szegő Kernel ◽  
Invariant Distance ◽  
Szego Kernel ◽  
The Relationship

AbstractIn this paper we introduce a new distance by means of the so-called Szegő kernel and examine some basic properties and its relationship with the so-called Skwarczyński distance. We also examine the relationship between this distance, and the so-called Bergman distance and Szegő distance.

scholarly journals Aggregation of Indistinguishability Fuzzy Relations Revisited

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1441
Author(s):  
Juan-De-Dios González-Hedström ◽  
Juan-José Miñana ◽  
Oscar Valero
Keyword(s):  
Equivalence Relation ◽  
Fuzzy Relations ◽  
Measure Of Similarity ◽  
Dual Notion ◽  
The Relationship

Indistinguishability fuzzy relations were introduced with the aim of providing a fuzzy notion of equivalence relation. Many works have explored their relation to metrics, since they can be interpreted as a kind of measure of similarity and this is, in fact, a dual notion to dissimilarity. Moreover, the problem of how to construct new indistinguishability fuzzy relations by means of aggregation has been explored in the literature. In this paper, we provide new characterizations of those functions that allow us to merge a collection of indistinguishability fuzzy relations into a new one in terms of triangular triplets and, in addition, we explore the relationship between such functions and those that aggregate extended pseudo-metrics, which are the natural distances associated to indistinguishability fuzzy relations. Our new results extend some already known characterizations which involve only bounded pseudo-metrics. In addition, we provide a completely new description of those indistinguishability fuzzy relations that separate points, and we show that both differ a lot.

scholarly journals On t-Neighbourhoods in Trigonometric Topological Spaces

2021 ◽  
Vol 12 (1S) ◽  
pp. 655-658
Author(s):  
S. Malathi, Et. al.
Keyword(s):  
Necessary Condition ◽  
Topological Spaces ◽  
Basic Properties ◽  
New Type ◽  
The Relationship

In this paper we introduce a new type of neighbourhoods, namely, t-neighbourhoods in trigonometric topological spaces and study their basic properties. Also, we discuss the relationship between neighbourhoods and t-neighbourhoods. Further, we give the necessary condition for t-neighbourhoods in trigonometric topological spaces.  .

scholarly journals Quasi-posinormal operators

2010 ◽  
Vol 7 (3) ◽  
pp. 1282-1287
Author(s):  
Baghdad Science Journal
Keyword(s):  
Hilbert Space ◽  
Normal Operator ◽  
Basic Properties ◽  
Hyponormal Operators ◽  
The Relationship

In this paper, we introduce a class of operators on a Hilbert space namely quasi-posinormal operators that contain properly the classes of normal operator, hyponormal operators, M–hyponormal operators, dominant operators and posinormal operators . We study some basic properties of these operators .Also we are looking at the relationship between invertibility operator and quasi-posinormal operator .

scholarly journals On the relationship between the basicity of a surface and its ability to catalyze transesterification in liquid and gas phases: the case of MgO

2015 ◽  
Vol 17 (21) ◽  
pp. 14168-14176 ◽  
Author(s):  
Damien Cornu ◽  
Hazar Guesmi ◽  
Guillaume Laugel ◽  
Jean-Marc Krafft ◽  
Hélène Lauron-Pernot
Keyword(s):  
Gas Phase ◽  
Basic Properties ◽  
Gas Phases ◽  
The Relationship

The influence of the basic properties of MgO is not the same for liquid and for gas phase transesterification.

scholarly journals Comparison of Twelve Types of Rough Approximations Based on j-Neighborhood Space and j-Adhesion Neighborhood Space

2021 ◽  
Author(s):  
Mohamed Atef ◽  
Ahmed Mostafa Khalil ◽  
Abdelfatah Azzam ◽  
Abd El Fattah El Atik ◽  
Sheng Gang Li ◽  
...  
Keyword(s):  
Rough Set ◽  
Boundary Region ◽  
Previous Approach ◽  
Basic Properties ◽  
Fundamental Properties ◽  
Approximation Operators ◽  
Neighborhood Rough Set ◽  
The Relationship ◽  
Neighbor Hood

Abstract In this paper, we generalize six kinds of rough set models based on j-neighborhood space (i.e., reflexive 1 j-neighborhood rough set, reflexive 2 j-neighborhood rough set, reflexive 3 j-neighborhood rough set, similarity 4 j-neighborhood rough set, similarity 5 j-neighborhood rough set, and similarity 6 j-neighbor\\hood rough set), and investigate some of their basic properties. Further, we propose a new neighborhood space called j-adhesion neighborhood based on six types of rough set models (i.e., reflexive 7 j-adhesion neighborhood rough set, reflexive 8 j-adhesion neighborhood rough set, reflexive 9 j-adhesion neighborhood rough set, similarity 10 j-adhesion neighborhood rough set, similarity 11 j-adhesion neighborhood rough set, and similarity 12 j-neighbor\\hood rough set) to reduce the boundary region and the accuracy. The fundamental properties of approximation operators based on j-adhesion neighborhood space are investigated. The relationship between the properties of these types is explained. Finally, we give comparisons between the proposed approach with the previous approach (i.e., Abo-Tabl's approach and Dai et al.'s approach) from six types of rough set models. Consequently, the accuracy from the proposed approach is improved.

scholarly journals Remarks on soft omega-closed sets in soft topological spaces

2014 ◽  
Vol 33 (1) ◽  
pp. 181
Author(s):  
Nirmala Rebecca Paul
Keyword(s):  
Compact Space ◽  
Topological Spaces ◽  
Closed Set ◽  
Basic Properties ◽  
Closed Sets ◽  
The Relationship

The paper introduces soft omega-closed sets in soft topological spaces and establishes the relationship between other existing generlised closed sets in soft topological spaces. It derives the basic properties of soft omega-closed sets. As an application it proves that a soft omega-closed set in a soft compact space is soft compact.

scholarly journals Approximation Operator Based on Neighborhood Systems

Symmetry ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 539
Author(s):  
Pei Wang ◽  
Qingjun Wu ◽  
Jiali He ◽  
Xiao Shang
Keyword(s):  
The Other ◽  
Approximation Operator ◽  
Upper Approximation ◽  
Basic Properties ◽  
New Type ◽  
The Relationship

In this paper, we propose a new covering-based set in which the lower and the upper approximation operations are defined by neighborhood systems. We systematically discuss this new type of covering-based set in two steps. First, we study the basic properties of this covering-based set, such as normality, contraction, and monotone properties. Second, we discuss the relationship between the new type of covering-based set and the other ten proposed sets.

Comparison of six types of rough approximations based on j-neighborhood space and j-adhesion neighborhood space

2020 ◽  
Vol 39 (3) ◽  
pp. 4515-4531 ◽  
Author(s):  
Mohammed Atef ◽  
Ahmed Mostafa Khalil ◽  
Sheng-Gang Li ◽  
A.A. Azzam ◽  
Abd El Fattah El Atik
Keyword(s):  
Rough Set ◽  
Basic Properties ◽  
Fundamental Properties ◽  
Approximation Operators ◽  
Neighborhood Rough Set ◽  
Type 3 ◽  
The Relationship

In this paper, we generalize three types of rough set models based on j-neighborhood space (i.e, type 1 j-neighborhood rough set, type 2 j-neighborhood rough set, and type 3 j-neighborhood rough set), and investigate some of their basic properties. Also, we present another three types of rough set models based on j-adhesion neighborhood space (i.e, type 4 j-adhesion neighborhood rough set, type 5 j-adhesion neighborhood rough set, and type 6 j-adhesion neighborhood rough set). The fundamental properties of approximation operators based on j-adhesion neighborhood space are established. The relationship between the properties of these types is explained. Finally, according to j-adhesion neighborhood space, we give a comparison between the Yao’s approach and our approach.

On the Dexterity of Robotic Manipulators—Service Angle

1985 ◽  
Vol 107 (2) ◽  
pp. 262-270 ◽  
Author(s):  
D. C. H. Yang ◽  
Z. C. Lai
Keyword(s):  
Theoretical Study ◽  
Robotic Manipulators ◽  
Basic Properties ◽  
Free Service ◽  
The Relationship

This paper presents a theoretical study on the dexterity problem of 6R manipulators. Particularly, it deals with the manipulator’s service angle around a reachable point in space. The first part conceptualizes the ideas of service region, free service region and polarities of robots, and shows that the entire service angle can be categorized into a number of free service regions. The remainder of the paper deals with the investigation of basic properties of free service regions. The relationship between free service regions and service angle is subsequently formulated into a set of theorems and criteria. Specific examples are given for illustration.

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