1,480 research outputs found
Enhancement of dronogram aid to visual interpretation of target objects via intuitionistic fuzzy hesitant sets
In this paper, we address the hesitant information in enhancement task often caused by differences in image contrast. Enhancement approaches generally use certain filters which generate artifacts or are unable to recover all the objects details in images. Typically, the contrast of an image quantifies a unique ratio between the amounts of black and white through a single pixel. However, contrast is better represented by a group of pix- els. We have proposed a novel image enhancement scheme based on intuitionistic hesi- tant fuzzy sets (IHFSs) for drone images (dronogram) to facilitate better interpretations of target objects. First, a given dronogram is divided into foreground and background areas based on an estimated threshold from which the proposed model measures the amount of black/white intensity levels. Next, we fuzzify both of them and determine the hesitant score indicated by the distance between the two areas for each point in the fuzzy plane. Finally, a hyperbolic operator is adopted for each membership grade to improve the pho- tographic quality leading to enhanced results via defuzzification. The proposed method is tested on a large drone image database. Results demonstrate better contrast enhancement, improved visual quality, and better recognition compared to the state-of-the-art methods.Web of Science500866
Spatial Metric Space for Pattern Recognition Problems
The definition of weighted distance measure involves weights. The paper
proposes a weighted distance measure without the help of weights. Here, weights
are intrinsically added to the measure, and for this, the concept of metric
space is generalized based on a novel divided difference operator. The proposed
operator is used over a two-dimensional sequence of bounded variation, and it
generalizes metric space with the introduction of a multivalued metric space
called spatial metric space. The environment considered for the study is a
two-dimensional Atanassov intuitionistic fuzzy set (AIFS) under the assumption
that membership and non-membership components are its independent variables.
The weighted distance measure is proposed as a spatial distance measure in the
spatial metric space. The spatial distance measure consists of three branches.
In the first branch, there is a domination of membership values, non-membership
values dominate the second branch, and the third branch is equidominant. The
domination of membership and non-membership values are not in the form of
weights in the proposed spatial distance measure, and hence it is a measure
independent of weights. The proposed spatial metric space is mathematically
studied, and as an implication, the spatial similarity measure is multivalued
in nature. The spatial similarity measure can recognize a maximum of three
patterns simultaneously. The spatial similarity measure is tested for the
pattern recognition problems and the obtained classification results are
compared with some other existing similarity measures to show its potency. This
study connects the double sequence to the application domain via a divided
difference operator for the first time while proposing a novel divided
difference operator-based spatial metric space.Comment: 2
A New Approach to Intuitionistic Fuzzy Decision Making Based on Projection Technology and Cosine Similarity Measure
For a multi-attribute decision making (MADM) problem, the information of
alternatives under different attributes is given in the form of intuitionistic
fuzzy number(IFN). Intuitionistic fuzzy set (IFS) plays an important role in
dealing with un-certain and incomplete information. The similarity measure of
intuitionistic fuzzy sets (IFSs) has always been a research hotspot. A new
similarity measure of IFSs based on the projection technology and cosine
similarity measure, which con-siders the direction and length of IFSs at the
same time, is first proposed in this paper. The objective of the presented
pa-per is to develop a MADM method and medical diagnosis method under IFS using
the projection technology and cosine similarity measure. Some examples are used
to illustrate the comparison results of the proposed algorithm and some
exist-ing methods. The comparison result shows that the proposed algorithm is
effective and can identify the optimal scheme accurately. In medical diagnosis
area, it can be used to quickly diagnose disease. The proposed method enriches
the exist-ing similarity measure methods and it can be applied to not only
IFSs, but also other interval-valued intuitionistic fuzzy sets(IVIFSs) as well
Strict Intuitionistic Fuzzy Distance/Similarity Measures Based on Jensen-Shannon Divergence
Being a pair of dual concepts, the normalized distance and similarity
measures are very important tools for decision-making and pattern recognition
under intuitionistic fuzzy sets framework. To be more effective for
decision-making and pattern recognition applications, a good normalized
distance measure should ensure that its dual similarity measure satisfies the
axiomatic definition. In this paper, we first construct some examples to
illustrate that the dual similarity measures of two nonlinear distance measures
introduced in [A distance measure for intuitionistic fuzzy sets and its
application to pattern classification problems, \emph{IEEE Trans. Syst., Man,
Cybern., Syst.}, vol.~51, no.~6, pp. 3980--3992, 2021] and [Intuitionistic
fuzzy sets: spherical representation and distances, \emph{Int. J. Intell.
Syst.}, vol.~24, no.~4, pp. 399--420, 2009] do not meet the axiomatic
definition of intuitionistic fuzzy similarity measure. We show that (1) they
cannot effectively distinguish some intuitionistic fuzzy values (IFVs) with
obvious size relationship; (2) except for the endpoints, there exist infinitely
many pairs of IFVs, where the maximum distance 1 can be achieved under these
two distances; leading to counter-intuitive results. To overcome these
drawbacks, we introduce the concepts of strict intuitionistic fuzzy distance
measure (SIFDisM) and strict intuitionistic fuzzy similarity measure (SIFSimM),
and propose an improved intuitionistic fuzzy distance measure based on
Jensen-Shannon divergence. We prove that (1) it is a SIFDisM; (2) its dual
similarity measure is a SIFSimM; (3) its induced entropy is an intuitionistic
fuzzy entropy. Comparative analysis and numerical examples demonstrate that our
proposed distance measure is completely superior to the existing ones
Application of intuitionistic fuzzy sets in determining the major in senior high school
Intuitionistic Fuzzy Set (IFS) is useful to construct a model with elaborate uncertainty and ambiguity involved in decision-making. In this paper, the concept relation and operation of intuitionistic fuzzy set and the application in major of senior high school determination using the normalized Euclidean distance method will be reviewed. Some theorem of relation and operation of intuitionistic fuzzy set are proved. In general, to prove the theorem the definition and some basic relation and operation laws of IFS are needed. The distance measure between IFS indicates the difference in grade between the information carried by IFS. There are science, social, and language majors in senior high school. The normalized Euclidean distance method is used to measure the distance between each student and each major. The major, which each student can choose, has been determined depending on test evaluations. The solution provided is the smallest distance between each student and each major using the normalized Euclidean distance method
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