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Research Article

$(m,n)$-FUZZY DISTANCE MEASURES AND THEIR APPLICATIONS TO PATTERN RECOGNITION PROBLEMS

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Samajh Singh Thakur Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur - 482011, Madhya Pradesh, INDIA
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Alpa Singh Rajput Department of Mathematics, DIT University, Dehradun, Uttarakhand, INDIA
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Archana Kumari Prasad Department of Mathematics, Swami Vivekanand Government College, Lakhnadon - 480886, Madhya Pradesh, INDIA
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Mahima Thakur Department of Applied Mathematics, Jabalpur Engineering College, Jabalpur - 482011, Madhya Pradesh, INDIA
Volume 21, Issue 1 Pages 135-148 April 30, 2025 135 downloads
Article overview

Abstract

The (m,n)-fuzzy sets are an effective and efficient tool for depicting vagueness and uncertainty in information in decision making. The present paper created logarithmic and tangent inverse distance measures for (m,n)-FSs and explores some of their properties.Numerical examples are presented to show the validity and effectiveness of proposed distance measures.

Keywords and Phrases

(mn)-fuzzy setsdistance measure of (mn)-fuzzy setspattern recognition.

AMS Subject Classification

03E72, 68T10, 90B50.

Reference information

How to Cite

Samajh Singh Thakur, Alpa Singh Rajput, Archana Kumari Prasad, Mahima Thakur (2025). $(m,n)$-FUZZY DISTANCE MEASURES AND THEIR APPLICATIONS TO PATTERN RECOGNITION PROBLEMS. South East Asian Journal of Mathematics and Mathematical Sciences, 21(1), 135-148.
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