{"title":"基于匹克公式的3d图形区域","authors":"K. Atanassov","doi":"10.7546/nifs.2022.28.1.86-92","DOIUrl":null,"url":null,"abstract":"This work is based on previous research focused on iterative procedures for estimation of the area surrounded by a simple closed curve in the 2D space. Pick's formula is employed for calculating the area surrounded by a special type of polygons. Here, we propose 3D-figure areas based on Pick's formula and give intuitionistic fuzzy and interval-valued intuitionistic fuzzy estimations of these areas.","PeriodicalId":433687,"journal":{"name":"Notes on Intuitionistic Fuzzy Sets","volume":"485 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the 3D-figure areas based on Pick's formula\",\"authors\":\"K. Atanassov\",\"doi\":\"10.7546/nifs.2022.28.1.86-92\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This work is based on previous research focused on iterative procedures for estimation of the area surrounded by a simple closed curve in the 2D space. Pick's formula is employed for calculating the area surrounded by a special type of polygons. Here, we propose 3D-figure areas based on Pick's formula and give intuitionistic fuzzy and interval-valued intuitionistic fuzzy estimations of these areas.\",\"PeriodicalId\":433687,\"journal\":{\"name\":\"Notes on Intuitionistic Fuzzy Sets\",\"volume\":\"485 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-03-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Notes on Intuitionistic Fuzzy Sets\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7546/nifs.2022.28.1.86-92\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Notes on Intuitionistic Fuzzy Sets","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7546/nifs.2022.28.1.86-92","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
This work is based on previous research focused on iterative procedures for estimation of the area surrounded by a simple closed curve in the 2D space. Pick's formula is employed for calculating the area surrounded by a special type of polygons. Here, we propose 3D-figure areas based on Pick's formula and give intuitionistic fuzzy and interval-valued intuitionistic fuzzy estimations of these areas.