直觉模糊超图上的度量诱导形态算子

IF 1 Q1 MATHEMATICS

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Pub Date : 2018-07-04 DOI:10.1155/2018/6045358

P. Dhanya, A. Sreekumar, M. Jathavedan, P. B. Ramkumar

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引用次数: 0

摘要

由超边和节点组成的超图可以通过赋予节点和边的隶属度和非隶属度来构成直觉模糊超图(IFHG)。就像超图一样，IFHG也有由许多节点组成的超边。通过应用形态操作符，如膨胀、侵蚀、附加等，可以创建给定IFHG的许多风味。本文的重点是在IFHG上定义形态连接、打开、关闭和可选顺序滤波器(ASF)。以这种方式建模的系统在文本处理、图像处理、网络分析和许多其他领域都有应用。

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Metric Induced Morphological Operators on Intuitionistic Fuzzy Hypergraphs

A hypergraph consisting of hyperedges and nodes can be made intuitionistic fuzzy hypergraph (IFHG) by assigning membership and nonmembership degrees for both nodes and edges. Just as a hypergraph, an IFHG is also having hyperedges consisting of many nodes. Many flavours of a given IFHG can be created by applying morphological operators like dilation, erosion, adjunction, etc. The focus of this paper is to define morphological adjunction, opening, closing, and Alternative Sequential Filter (ASF) on IFHG. The system modeled in this way finds application in text processing, image processing, network analysis, and many other areas.

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来源期刊

INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Mathematics-Mathematics (miscellaneous)

CiteScore

2.30

自引率

8.30%

发文量

审稿时长

17 weeks

期刊介绍： The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.