Bounds for membership functions: a correlation-based approach

Murthy, C. A. ; Pal, S. K. (1992) Bounds for membership functions: a correlation-based approach Information Sciences, 65 (1-2). pp. 143-171. ISSN 0020-0255

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/002002...

Related URL: http://dx.doi.org/10.1016/0020-0255(92)90081-I

Abstract

The paper describes a mathematical formulation for defining bounds for S-type membership functions using correlation [1]. These bounds impose restrictions on variation in the values of membership functions. The significance of these bounds in the image processing/ analysis problems has been extensively studied on various images. It has been observed that membership functions satisfying the bounds can provide desirable results. It is also found that Zadeh's standard S-function [2] satisfies these bounds.

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ID Code:26088
Deposited On:06 Dec 2010 13:07
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