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Bipolar distributions in fuzzy sets theory
In this paper we consider the problem of measuring latent variables with ordinal scales and we put forward an original approach to this issue, which combines the use of Intuitionistic Fuzzy Sets with the calculation of bipolar means and bipolar distributions.
MARASINI, DONATA +2 more
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Fuzzy N-Bipolar Soft Set [PDF]
Fuzzy N-Bipolar Soft Set (FN-BSS) merupakan salah satu perluasan dari teori himpunan kabur. Konsep ini menggabungkan sistem peringkat multi-level dari N-Soft Set, pendekatan bipolar dari Bipolar Soft Set yang merepresentasikan sisi positif dan negatif dari setiap parameter, serta derajat keanggotaan fuzzy dari konsep Fuzzy Set untuk menangani ...
Ardi, Hafwan
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Geometry of Spatial Bipolar Fuzzy Sets Based on Bipolar Fuzzy Numbers and Mathematical Morphology
We propose in this paper new tools for dealing with bipolar fuzzy spatial information: particular geometrical objects are defined, as well as measures such as cardinality and perimeter, represented as bipolar fuzzy numbers. A definition of distance from a point to a bipolar fuzzy set is introduced as well.
Bloch, Isabelle
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Domination of Bipolar Fuzzy Graphs in Various Settings [PDF]
AbstractBipolar fuzzy sets are used to describe the positive and negative of the uncertainty of objects, and the bipolar fuzzy graphs are used to characterize the structural relationship between uncertain concepts in which the vertices and edges are assigned positive and negative membership function values to feature the opposite uncertainty elevation.
Shu Gong, Gang Hua 0002, Wei Gao 0012
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Application of Bipolar Fuzzy Sets in Graph Structures [PDF]
A graph structure is a useful tool in solving the combinatorial problems in different areas of computer science and computational intelligence systems. In this paper, we apply the concept of bipolar fuzzy sets to graph structures. We introduce certain notions, including bipolar fuzzy graph structure (BFGS), strong bipolar fuzzy graph structure, bipolar
Muhammad Akram, Rabia Akmal
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Bipolar Complex Fuzzy Subgroups
In this study, firstly, we interpret the level set, support, kernel for bipolar complex fuzzy (BCF) set, bipolar complex characteristic function, and BCF point.
Tahir Mahmood +2 more
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H-Max Distance Measure of Bipolar Neutrosophic Sets and an Application to Medical Diagnosis [PDF]
A single-valued neutrosophic set is one of the advanced fuzzy sets that is capable of handling complex real-world information satisfactorily. A development of single-valued neutrosophic set and fuzzy bipolar set, called a bipolar neutrosophic set, was ...
Roan Thi Ngan +2 more
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A random set and prototype theory interpretation of intuitionistic fuzzy sets [PDF]
An interpretation of intuitionistic fuzzy sets is proposed based on random set theory and prototype theory. The extension of fuzzy labels are modelled by lower and upper random set neighbourhoods, identifying those element of the universe within an ...
Lawry, Jonathan, Jonathan Lawry
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Hesitant Bipolar-Valued Neutrosophic Set: Formulation, Theory and Application
This paper proposes a hesitant bipolar-valued neutrosophic set (HBVNS) based on the combination of bipolar neutrosophic sets and hesitant fuzzy sets.
Azzah Awang, Mumtaz Ali, Lazim Abdullah
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Numerical solution of bipolar fuzzy initial value problem
Differential equations occur in many fields of science, engineering and social science as it is a natural way of modeling uncertain dynamical systems. A bipolar fuzzy set model is useful mathematical tool for addressing uncertainty which is an extension ...
Akram, Muhammad Saeed +5 more
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