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Abstract
Timeplaysaverycrucialroleinourlives;hence,thetimezonescameintoexistence.Therearenumeroustimezonesallacrosstheglobe.Allthe workirrespectiveoftheirtypeisdependentontime.Somecountries havetwoormorethantwo timezones.India follows the Indian Standard Time (IST). It is the primary time standard with +5.30UTC ahead of UTC and followed in Indian subcontinent. India,beingavastcountryafter the independence is facing a problem with its own time zone; mainly, the people belonging to North East India. So, in this paperwe madeanapproachviafuzzyclusteringbyfuzzycmeansalgorithmand calculating the problem by the observation of sunrise and sunset of different cities ofIndia.