Showing 1-25 of 14,716 resultsfor "Index Terms":Set Of Planes
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An Interval Type-2 Fuzzy Rough Set Model for Attribute Reduction
Rough set theory is a very useful tool for describing and modeling vagueness in ill-defined environments. Traditional rough set theory is restricted to crisp environments. However, nowadays, it has been extended to fuzzy environments, resulting in the development of the so-called fuzzy rough sets. Type-2 fuzzy sets possess many advantages over type-1 fuzzy sets, but for the general type-2 fuzzy se...Show More
On Atanassov's Intuitionistic Fuzzy Sets in the Complex Plane and the Field of Intuitionistic Fuzzy Numbers
IEEE Transactions on Fuzzy Systems
Cited by: Papers (7)
In this paper, we propose a method to construct homeomorphisms from the interior of intuitionistic fuzzy interpretation triangle to the complex plane. Based on such homeomorphisms, we define concepts of pure intuitionistic fuzzy sets and pure intuitionistic fuzzy numbers, and obtain some properties of these new concepts. In addition, we prove that all the pure intuitionistic fuzzy numbers form a f...Show More
We develop a novel mathematical tool known as complex multi-fuzzy soft set (CMFSS) which has the ability to handle uncertainties, imprecision, and vagueness of information that are inherent in the data by considering the amplitude and phase terms of the complex numbers simultaneously. This CMFSS constitutes of a hybrid structure of multi-fuzzy set and soft set which are defined in a complex settin...Show More
Plotting 2-1/2 D figures for general type-2 fuzzy sets by hand or by PowerPoint
2012 IEEE International Conference on Fuzzy Systems
Year: 2012 | Conference Paper |
Cited by: Papers (8)
Type-2 fuzzy logic systems that use general type-2 fuzzy sets (GT2 FSs) are now receiving renewed attention; hence, it is important to be able to communicate effectively about such fuzzy sets. While it is possible to generate the 3D membership functions (MFs) for these fuzzy sets using computer programs, this is not very useful for real-time on-the-fly discussions. Additionally, for most of us it ...Show More
Temporal Visualization of Sets and Their Relationships Using Time-Sets
2018 22nd International Conference Information Visualisation (IV)
Year: 2018 | Conference Paper |
Cited by: Papers (1)
Visual representation of sets and their relationships is valuable in many application areas. There are numerous categories of set visualizations, each with their own particular representation of sets using areas, lines, matrices, etc. All these existing visualizations, however, represent sets statically in time, without much consideration for comparisons of set cardinalities and relationships acro...Show More
Fuzzy sets, rough set and probability
2002 Annual Meeting of the North American Fuzzy Information Processing Society Proceedings. NAFIPS-FLINT 2002 (Cat. No. 02TH8622)
Year: 2002 | Conference Paper |
Cited by: Papers (1)
A rough membership function uses counting probability (ratio of cardinal numbers) to define a membership. An extension, called granular membership function (GMF), generalizes the counting probability to a general set function (GSF), such as probability, possibility, belief function, etc. have been investigated previously. The "set theoretical operations" (STO) of GMF are induced naturally from the...Show More
A Novel Applications of Complex Intuitionistic Fuzzy Sets in Group Theory
Muhammad Gulzar;M. Haris Mateen;Dilshad Alghazzawi;Nasreen Kausar
In this paper, we initiate the novel concept of complex intuitionistic fuzzy subgroups and prove that every complex intuitionistic fuzzy subgroup generates two intuitionistic fuzzy subgroups. We extend this ideology to define the concept of level subsets of complex intuitionistic fuzzy set and discuss its various fundamental algebraic characteristics. We also show that the level subset of the comp...Show More
Learning rule representations from data
We discuss a procedure which extracts statistical and entropic information from data in order to discover Boolean rules underlying them. We work within a granular computing framework where logical implications between statistics on the observed sample and properties on the whole data population are stressed in terms of both probabilistic and possibilistic measures of the inferred rules. With the m...Show More
Vision-aided Speed Modulation System to Enhance Seaworthiness of Autonomous Planing Crafts
2018 15th Workshop on Positioning, Navigation and Communications (WPNC)
Year: 2018 | Conference Paper |
Cited by: Papers (3)
The present study focuses on enhancing the operationability and seaworthiness of Autonomous Planing Crafts' (APC) in seaway by employing an autonomous speed setting mechanism as a response to the APC behavior when operating in real seaways. The mechanism, embedded in the craft's autonomous navigation system, employs a motion computation model termed Motion Assessment of Planing Craft (MAPC) where ...Show More
A Note on the Quantitative Measure of Image Enhancement Through Fuzziness
The ``index of fuzziness'' and ``entropy'' of an image reflect a kind of quantitative measure of its enhancement quality. Their values are found to decrease with enhancement of an image when different sets of S-type membership functions with appropriate crossover points were considered for extracting the fuzzy property plane from the spatial domain of the image.Show More
Given a set $P$ of $n$ points in the plane, we study the computation of the probability distribution function of both the area and perimeter of the convex hull of a random subset $S$ of $P$. The random subset $S$ is formed by drawing each point $p$ of $P$ independently with a given rational probability $\pi _p$. For both measures of the convex hull, we show that it is #P-hard to compute the probab...Show More
On complex fuzzy sets
10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297)
Year: 2001 | Conference Paper |
Cited by: Papers (3)
The innovative concept of complex fuzzy sets is introduced. The novelty of the complex fuzzy set lies in the range of values its membership function may attain. In contrast to a traditional fuzzy membership function, this range is not limited to [0,1] but extended to the unit circle in the complex plane. Thus, the complex fuzzy set provides a mathematical framework for describing membership in a s...Show More
Safe Flight Envelope Estimation for Rotorcraft: A Reachability Approach
2018 18th International Conference on Control, Automation and Systems (ICCAS)
Year: 2018 | Conference Paper |
This paper considers the application of a reachability approach to estimating a safe flight envelope for rotorcraft. The flight envelope estimation problem is solved backward in time as it is formulated as an optimal control problem that involves finding a viscosity solution to the Hamilton-Jacobi-Isaacs equation with a terminal condition. The viscosity solution and its zero sub-level set computed...Show More
Measuring the similarity between zSlices general type-2 fuzzy sets with non-normal secondary membership functions
2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)
Year: 2016 | Conference Paper |
Cited by: Papers (7)
This paper presents a method of measuring the similarity between general type-2 fuzzy sets that may have non-normal secondary membership functions. Such fuzzy sets are increasingly common in applications such as the modelling of the subjective meaning of linguistic terms by groups of people. By building upon existing similarity measures in the literature, which thus far cannot compare such fuzzy s...Show More
An Elliptical Level Set Method for Automatic TRUS Prostate Image Segmentation
2006 IEEE International Symposium on Signal Processing and Information Technology
Year: 2006 | Conference Paper |
Cited by: Papers (9)
One of the most important tasks in prostate cancer diagnosis and treatment is segmentation of transrectal ultrasound (TRUS) prostate images. Due to the large volumes of TRUS prostate images, automatic segmentation systems are mandatory. Weak prostate boundaries, speckle noise and the short range of gray levels make the task more challenging and difficult. Deformable models have been considered as ...Show More
A novel fuzzy c-means approach with bit plane algorithm for classification of medical images
2013 IEEE International Conference ON Emerging Trends in Computing, Communication and Nanotechnology (ICECCN)
Year: 2013 | Conference Paper |
Cited by: Papers (4)
This study plays a vital role in the significance of the analysis of an image in medical image processing field, is gaining thought of many researchers in modern times. The recognition of faults present in the destroyed portion of an image is imperative for based field. In this paper, we focus at developing an approach for better classification of medical images. Our methodology is based on the co...Show More
Double-couple earthquake focal mechanism: random rotation and display
This paper addresses two problems: the random rotation of double-couple (DC) earthquake sources and the display of earthquake focal mechanisms. We consider several equivalent representations for DC sources and their properties and provide mathematical expressions for their mutual transformation. Obviously, a 3-D rotation of any object is more intricate than a 2-D rotation. Any rotation of a DC sou...Show More
A fuzzy sets theoretic approach to approximate spatial reasoning
Relational composition-based reasoning has become the most prevalent method for qualitative reasoning since Allen's 1983 work on temporal intervals. Underlying this reasoning technique is the concept of a jointly exhaustive and pairwise disjoint set of relations. Systems of relations such as RCC5 and RCC8 were originally developed for ideal regions, not subject to imperfections such as vagueness o...Show More
Complex intuitionistic fuzzy classes
2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)
Year: 2016 | Conference Paper |
Cited by: Papers (10)
A complex fuzzy class is characterized by a pure complex fuzzy grade of membership. Pure complex fuzzy classes are paramount in providing rich semantics for cases where the fuzzy data is periodic with a fuzzy period. Often, however, the available data is contaminated by noise, opposing expert opinions, ambiguity, and false information. This opens the door for using intuitionistic fuzzy sets theory...Show More
General type-2 fuzzy logic systems (GT2 FLSs) have become a hot topic in current academic field. Computing the centroids of general type-2 fuzzy sets (also called type-reduction) is a central block in GT2 FLSs. Recent studies prove the continuous Nie-Tan (CNT) algorithms to be actually an accurate approach to calculate the centroids of interval type-2 fuzzy sets (IT2 FSs). This paper compares the ...Show More
Uncertainty measures for general type-2 fuzzy sets
2009 IEEE International Conference on Systems, Man and Cybernetics
Year: 2009 | Conference Paper |
Cited by: Papers (3)
Five uncertainty measures have previously been defined for interval type-2 fuzzy sets (IT2 FSs), namely centroid, cardinality, fuzziness, variance and skewness. Based on a recently developed ¿-plane representation technique, this paper generalizes these definitions to general T2 FSs and, more importantly, derives a unified strategy for computing all different uncertainty measures with low complexi...Show More
Exponential and Non-Exponential Based Generalized Similarity Measures for Complex Hesitant Fuzzy Sets with Applications
Fuzzy Information and Engineering
Cited by: Papers (2)
The purpose of this manuscript is to explore the notion of a complex hesitant fuzzy set (CHFS), as a generalization of the hesitant fuzzy set (HFS) and complex fuzzy set (CFS) to cope with the uncertain and complicated information in the real-world decision. CHFS contains truth grades in the form of a subset of the unit disc in the complex plane. The operational laws of the explored notion are als...Show More
On the Topological Minimality of Unions of Planes of Arbitrary Dimension
In this article, we prove the topological minimality of unions of several almost orthogonal planes of arbitrary dimensions. A particular case was proved in [13], where we proved the Almgren minimality (which is a weaker property than the topological minimality) of the union of two almost orthogonal two-dimensional planes. On the one hand, the topological minimality is almost always proved by varia...Show More
Complex fuzzy coverings (CFCs) are the natural mixture of the complex fuzzy sets (CFSs) and coverings, which are the modified versions of the coverings by replacing crisp sets with CFSs. This manuscript aims to explore the complex fuzzy neighborhood operators (CFNOs) by introducing the notions such as β-neighborhood system ( β-NO), complex fuzzy β-minimal description (CF β-MND), and complex fuzzy ...Show More
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