A novel distance measure for simplified neutrosophic sets with its applications in pattern recognition

Year 2022, , 1207 - 1215, 15.10.2022

Mesut Karabacak

https://doi.org/10.17714/gumusfenbil.1179414

Abstract

The simplified neutrosophic set (SNS) is an essential modelling technique for effectively modelling and expressing inconsistent and ambiguous information. A crucial tool often utilized in a number of contexts, from clustering approach to medical diagnostics, is the distance measure. Although there are several distance measures in neutrosophic literature, some of them have the drawback of not providing the general requirements of the distance measure for certain particular values. We introduce a brand-new distance measure in this paper to deal with the relationship between two SNSs. When compared to alternative distance measures that are already in use, it appears that the new distance measure produces better results. The suggested distance measure has been put to use in a number of numerical instance concerning pattern recognition that is medical diagnosis.

Keywords

Simplified neutrosophic sets, Pattern recognition, Distance measure, Medical diagnosis

Örüntü tanımadaki uygulamalarıyla basitleştirilmiş nötrosofik kümeler için yeni bir mesafe ölçüsü

Abstract

Basitleştirilmiş nötrosofik küme (BNK), tutarsız ve belirsiz bilgileri etkili bir şekilde ifade etmek ve işlemek için temel bir modelleme tekniğidir. Kümeleme analizinden tıbbi teşhise kadar birçok bağlamda sıklıkla kullanılan önemli bir araç, mesafe ölçümüdür. Nötrosofik literatüründe birkaç uzaklık ölçütü olmasına rağmen, bunlardan bazıları belirli değerler için mesafe ölçüsünün genel gereksinimlerini sağlamama dezavantajına sahiptir. Bu yazıda iki basitleştirilmiş nötrosofik küme arasındaki ilişkiyi ele almak için yepyeni bir mesafe ölçüsü sunuyoruz. Hâlihazırda kullanımda olan alternatif mesafe ölçüleri ile karşılaştırıldığında, yeni mesafe ölçüsünün daha iyi sonuçlar verdiği görülmektedir. Önerilen mesafe ölçüsü, tıbbi teşhis de olmak üzere örüntü tanıma ile ilgili sayısal bir örnekte kullanıma sunulmuştur.

Keywords

Basitleştirilmiş nötrosofik kümeler, Örüntü tanıma, Mesafe ölçüsü, Tıbbi teşhis

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