Foundation for Neutrosophic Mathematical Morphology
نویسنده
چکیده
The aim of this paper is to introduce a new approach to Mathematical Morphology based on neutrosophic set theory. Basic definitions for neutrosophic morphological operations are extracted and a study of its algebraic properties is presented. In our work we demonstrate that neutrosophic morphological operations inherit properties and restrictions of Fuzzy Mathematical Morphology.
منابع مشابه
Neutrosophic Technique and its Application
The fundamental concepts of neutrosophic set, introduced by Smarandache in [ 38, 39, 40], and Salama et al. in [20-37], provides a natural foundation for treating mathematically the neutrosophic phenomena which exist pervasively in our real world and for building new branches of neutrosophic mathematics. Neutrosophy has laid the foundation for a whole family of new mathematical theories general...
متن کاملNeutrosophic Sets and Systems, Vol. 2, 2014
In 1995 Smarandache introduced the concept of neutrosophic set which is a mathematical tool for handling problems involving imprecise, indeterminacy and inconsistent data. In 2013 Maji introduced the concept of neutrosophic soft set theory as a general mathematical tool for dealing with uncertainty. In this paper we define the notion of a mapping on classes where the neutrosophic soft classes a...
متن کاملCorrelation Coefficient of Simplified Neutrosophic Sets for Bearing Fault Diagnosis
In order to process the vagueness in vibration fault diagnosis of rolling bearing, a new correlation coefficient of simplified neutrosophic sets (SNSs) is proposed. Vibration signals of rolling bearings are acquired by an acceleration sensor, and a morphological filter is used to reduce the noise effect. Wavelet packet is applied to decompose the vibration signals into eight subfrequency bands,...
متن کاملIntroduction to Neutrosophic BCI/BCK-Algebras
In this paper, we introduce the concept of neutrosophic BCI/BCKalgebras. Elementary properties of neutrosophic BCI/BCK algebras are presented. AMS (2010): 03B60, 03G25, 06F35.
متن کاملOn Soft Mixed Neutrosophic N-Algebraic Structures
Soft set theory is a general mathematical tool for dealing with uncertain, fuzzy, not clearly defined objects. In this paper we introduced soft mixed neutrosophic N-algebraic with the discussion of some of their characteristics. We also introduced soft mixed dual neutrosophic N-algebraic structures, soft weak mixed neutrosophic N-algebraic structures, soft Lagrange mixed neutrosophic N-algebrai...
متن کامل