The aim of this paper is to discuss the basic concept pentagonal fuzzy number (PFN). Canonical pentagonal fuzzy numbers are discussed by means of internal arithmetic operations by using α -cut operations.
讨论了五边形模糊数(PFN)的基本概念。利用α切运算，讨论了典型五边形模糊数的内部算术运算。
{"title":"Some Notes on Pentagonal Fuzzy Numbers","authors":"Avinash J. Kamble","doi":"10.22457/ijfma.v13n2a2","DOIUrl":"https://doi.org/10.22457/ijfma.v13n2a2","url":null,"abstract":"The aim of this paper is to discuss the basic concept pentagonal fuzzy number (PFN). Canonical pentagonal fuzzy numbers are discussed by means of internal arithmetic operations by using α -cut operations.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"77 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128400045","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper Cholesky decomposition method is used to solve a fully fuzzy linear system of equation with trapezoidal fuzzy numbers as entries. A numerical example is also dealt with.
本文用Cholesky分解法求解了一类以梯形模糊数为项的全模糊线性方程组。并给出了一个数值算例。
{"title":"Cholesky Decomposition Method for Solving Fully Fuzzy Linear System of Equations with Trapezoidal Fuzzy Number","authors":"T. Beaula, L.Mohan","doi":"10.22457/ijfma.v14n2a10","DOIUrl":"https://doi.org/10.22457/ijfma.v14n2a10","url":null,"abstract":"In this paper Cholesky decomposition method is used to solve a fully fuzzy linear system of equation with trapezoidal fuzzy numbers as entries. A numerical example is also dealt with.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128409354","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.22457/ijfma.v19n1a05227
Purbasha Giri
. Fuzzy matrix is a very important topic of fuzzy algebra. In fuzzy matrix, the elements belong to the unit interval [0,1] , each element represents the membership value of an element. In this paper, (cid:6) -polar fuzzy set, (cid:6) -polar fuzzy relation, (cid:6) -polar fuzzy matrix is introduced. In (cid:6) -polar fuzzy matrix, each element is a vector containing (cid:6) elements and membership values of each elements lie between 0 and 1 including 0 and 1 . In (cid:6) -polar fuzzy matrix, the membership values of rows and columns are crisp, i.e. rows and columns are certain. But, in many real life situations they are also uncertain. So to model these type of uncertain problems, a new type of uncertain problems, a new type of (cid:6) -polar fuzzy matrix with (cid:6) -polar fuzzy rows and columns are defined. For these matrices, null, identity, equality, complement, g-(cid:6) -polar, complete, density are defined. For these matrices, we checked that whether the matrix is balanced, strictly balanced or not.
{"title":"A Study on m-polar Fuzzy Sets and m-polar Fuzzy Matrix","authors":"Purbasha Giri","doi":"10.22457/ijfma.v19n1a05227","DOIUrl":"https://doi.org/10.22457/ijfma.v19n1a05227","url":null,"abstract":". Fuzzy matrix is a very important topic of fuzzy algebra. In fuzzy matrix, the elements belong to the unit interval [0,1] , each element represents the membership value of an element. In this paper, (cid:6) -polar fuzzy set, (cid:6) -polar fuzzy relation, (cid:6) -polar fuzzy matrix is introduced. In (cid:6) -polar fuzzy matrix, each element is a vector containing (cid:6) elements and membership values of each elements lie between 0 and 1 including 0 and 1 . In (cid:6) -polar fuzzy matrix, the membership values of rows and columns are crisp, i.e. rows and columns are certain. But, in many real life situations they are also uncertain. So to model these type of uncertain problems, a new type of uncertain problems, a new type of (cid:6) -polar fuzzy matrix with (cid:6) -polar fuzzy rows and columns are defined. For these matrices, null, identity, equality, complement, g-(cid:6) -polar, complete, density are defined. For these matrices, we checked that whether the matrix is balanced, strictly balanced or not.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"463 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128757111","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, we introduce the notion of intuitionistic fuzzy bi-ideals of nearrings. We give some characterizations of intuitionistic fuzzy bi-ideals of near-rings.
本文引入了近似环的直觉模糊双理想的概念。给出了近环的直觉模糊双理想的一些刻画。
{"title":"A Note on Characterization of Intuitionistic Fuzzy Bi-Ideals of Near Rings","authors":"M.Ramachandran, K.Dhilip Kumar","doi":"10.22457/ijfma.v15n2a20","DOIUrl":"https://doi.org/10.22457/ijfma.v15n2a20","url":null,"abstract":"In this paper, we introduce the notion of intuitionistic fuzzy bi-ideals of nearrings. We give some characterizations of intuitionistic fuzzy bi-ideals of near-rings.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132150364","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, entropy measure of temporal intuitionistic fuzzy sets (TIFSs) is introduced along with its axiomatic definition. The relationship among entropy, similarity and distance measures of TIFSs are studied.
{"title":"Entropy Measure of Temporal Intuitionistic Fuzzy Sets","authors":"C.Radhamani","doi":"10.22457/ijfma.v15n1a9","DOIUrl":"https://doi.org/10.22457/ijfma.v15n1a9","url":null,"abstract":"In this paper, entropy measure of temporal intuitionistic fuzzy sets (TIFSs) is introduced along with its axiomatic definition. The relationship among entropy, similarity and distance measures of TIFSs are studied.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"36 6","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131658245","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.22457/ijfma.v18n2a01215
Dipankar De
In this paper we introduce the concept of fuzzy γ-hyper connected space with the help of fuzzy γ-connected sets .Some basic theorems and results of these spaces are also discussed.
本文利用模糊γ-连通集引入了模糊γ-超连通空间的概念，并讨论了这些空间的一些基本定理和结果。
{"title":"Fuzzy γ-Hyper Connectedness in Fuzzy Topological Spaces","authors":"Dipankar De","doi":"10.22457/ijfma.v18n2a01215","DOIUrl":"https://doi.org/10.22457/ijfma.v18n2a01215","url":null,"abstract":"In this paper we introduce the concept of fuzzy γ-hyper connected space with the help of fuzzy γ-connected sets .Some basic theorems and results of these spaces are also discussed.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124977593","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.22457/ijfma.v19n2a04233
Ankana Mallik, S. Maity
This article deals with an economic order quantity (EOQ) model under nonrandom uncertain demand. Firstly, we have solved the crisp model and then the model is converted into a fuzzy environment. For a comparative study, we have considered the demand rate as a cloudy fuzzy number. The numerical result is obtained by LINGO 16.0 software. Finally, sensitivity analysis and graphical illustration have been given for better justification of the model.
{"title":"A Study of an EOQ Model under Cloudy Fuzzy Environment","authors":"Ankana Mallik, S. Maity","doi":"10.22457/ijfma.v19n2a04233","DOIUrl":"https://doi.org/10.22457/ijfma.v19n2a04233","url":null,"abstract":"This article deals with an economic order quantity (EOQ) model under nonrandom uncertain demand. Firstly, we have solved the crisp model and then the model is converted into a fuzzy environment. For a comparative study, we have considered the demand rate as a cloudy fuzzy number. The numerical result is obtained by LINGO 16.0 software. Finally, sensitivity analysis and graphical illustration have been given for better justification of the model.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130150995","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
In this paper, firstly some entropy measures and knowledge measure for the interval-valued intuitionistic fuzzy sets are discussed. Also interval-valued intuitionistic fuzzy weighted geometric averaging operator (IVIFWA), interval-valued intuitionistic fuzzy ordered weighted geometric averaging operator (IVIFOWGA) and interval-valued intuitionistic hybrid geometric averaging operator (IVIFHGA) are discussed. Based on the concepts mentioned above, a new multi attribute decision making method for interval-valued intuitionistic fuzzy numbers is proposed. Finally some illustrations are performed to demonstrate the effectiveness of the proposed method.
{"title":"A New Approach on Multiple Attribute Decision Making with Interval-Valued Knowledge Measure","authors":"M. Maragatham, P. Gayathri","doi":"10.22457/ijfma.v14n1a13","DOIUrl":"https://doi.org/10.22457/ijfma.v14n1a13","url":null,"abstract":"In this paper, firstly some entropy measures and knowledge measure for the interval-valued intuitionistic fuzzy sets are discussed. Also interval-valued intuitionistic fuzzy weighted geometric averaging operator (IVIFWA), interval-valued intuitionistic fuzzy ordered weighted geometric averaging operator (IVIFOWGA) and interval-valued intuitionistic hybrid geometric averaging operator (IVIFHGA) are discussed. Based on the concepts mentioned above, a new multi attribute decision making method for interval-valued intuitionistic fuzzy numbers is proposed. Finally some illustrations are performed to demonstrate the effectiveness of the proposed method.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"160 ","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113985162","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The purpose of this paper is to introduce the concepts of an intuitionistic fuzzy Gδ-e-locally neighborhood, intuitionistic fuzzy Gδ-e-locally quasi neighborhood, and intuitionistic fuzzy Gδ-e-locally continuous and intuitionistic fuzzy Gδ-e-locally irresolute functions in intuitionistic fuzzy topological spaces. Also some interesting properties are established..
{"title":"Intuitionistic Fuzzy Gδ -e-locally Continuous and Irresolute Functions","authors":"G. Saravanakumar, S. Tamilselvan, A. Vadivel","doi":"10.22457/ijfma.v14n2a14","DOIUrl":"https://doi.org/10.22457/ijfma.v14n2a14","url":null,"abstract":"The purpose of this paper is to introduce the concepts of an intuitionistic fuzzy Gδ-e-locally neighborhood, intuitionistic fuzzy Gδ-e-locally quasi neighborhood, and intuitionistic fuzzy Gδ-e-locally continuous and intuitionistic fuzzy Gδ-e-locally irresolute functions in intuitionistic fuzzy topological spaces. Also some interesting properties are established..","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122895897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 1900-01-01DOI: 10.22457/ijfma.v19n2a01231
Mandira Samanta, S. Maity
Fuzzy matrices helps to solve different types of model in a fuzzy environment. In this paper, we have defined a norm on fuzzy matrices, the namely column-average-max norm. We also investigated different properties and lemma of this norm.
{"title":"Column-Average-Max-Norm of Fuzzy Matrix","authors":"Mandira Samanta, S. Maity","doi":"10.22457/ijfma.v19n2a01231","DOIUrl":"https://doi.org/10.22457/ijfma.v19n2a01231","url":null,"abstract":"Fuzzy matrices helps to solve different types of model in a fuzzy environment. In this paper, we have defined a norm on fuzzy matrices, the namely column-average-max norm. We also investigated different properties and lemma of this norm.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131100982","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
京公网安备 11010802042870号
京ICP备2023020795号-1
扫码关注我们
求助内容：
应助结果提醒方式：