Fuzzy valued measure is a mapping which maps a σ- algebra to a set of fuzzy set with convex compact σ- level defined on banach space (β). In this paper, we investigate the notion of decomposition and representation of fuzzy valued measure (F.V.M) is given in the sequence of singular valued measure. Also we have been studied and develop the notion of integrals with the aid of F.V.M under closed intervals based on the proposed notions, we can prove relevant theorems.
{"title":"Fuzzy Valued Measure Based on Integral, Decomposition and Representation under Closed Intervals","authors":"D.Rajan, A.Beulah","doi":"10.22457/ijfma.v13n1a5","DOIUrl":"https://doi.org/10.22457/ijfma.v13n1a5","url":null,"abstract":"Fuzzy valued measure is a mapping which maps a σ- algebra to a set of fuzzy set with convex compact σ- level defined on banach space (β). In this paper, we investigate the notion of decomposition and representation of fuzzy valued measure (F.V.M) is given in the sequence of singular valued measure. Also we have been studied and develop the notion of integrals with the aid of F.V.M under closed intervals based on the proposed notions, we can prove relevant theorems.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"82 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":"121688856","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 study the homomorphic images (respectively pre-images) of -fuzzy ideals, L −fuzzy prime ideals, maximal −fuzzy ideals and L-fuzzy semi-prime ideals of universal algebras
{"title":"Homomorphisms and L-Fuzzy Ideals in Universal Algebras","authors":"Berhanu Assaye Alab, Mihret Alamneh Taye, Gezahagne Mulat Addis","doi":"10.22457/195ijfma.v17n1a1","DOIUrl":"https://doi.org/10.22457/195ijfma.v17n1a1","url":null,"abstract":"In this paper, we study the homomorphic images (respectively pre-images) of -fuzzy ideals, L −fuzzy prime ideals, maximal −fuzzy ideals and L-fuzzy semi-prime ideals of universal algebras","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"12 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":"122399946","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 are exploring fuzzy logic in medical diagnosis of infertility where our aim is to predict the possibility of total fertility using fuzzy matrix theory by measuring the follicle fertilization possibility based on follicle size. Also developed a computer program to calculate fuzzy matrix based on MaxMin rule using JavaScript.
{"title":"Fuzzy Matrix Theory and Infertility Management – Measures Follicle Fertilization Possibility","authors":"Vivek V. Raich, Sharad Gangele, N. Verma","doi":"10.22457/ijfma.v11n2a3","DOIUrl":"https://doi.org/10.22457/ijfma.v11n2a3","url":null,"abstract":"In this paper, we are exploring fuzzy logic in medical diagnosis of infertility where our aim is to predict the possibility of total fertility using fuzzy matrix theory by measuring the follicle fertilization possibility based on follicle size. Also developed a computer program to calculate fuzzy matrix based on MaxMin rule using JavaScript.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"48 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":"128813136","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: 10.22457/202ijfma.v17n2a1
Yudong Sun, Huan Wang
Stochastic volatility models play an important role in finance modeling. In this work, we study the existence, uniqueness, continuity and some estimates of the solution to a kind of the Heston stochastic volatility model with jump.
{"title":"Some Properties for a Kind of the Heston Stochastic Volatility Model with Jump","authors":"Yudong Sun, Huan Wang","doi":"10.22457/202ijfma.v17n2a1","DOIUrl":"https://doi.org/10.22457/202ijfma.v17n2a1","url":null,"abstract":"Stochastic volatility models play an important role in finance modeling. In this work, we study the existence, uniqueness, continuity and some estimates of the solution to a kind of the Heston stochastic volatility model with jump.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"6 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":"127970172","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.v18n1a04218
S. Adebisi, M. Enioluwafe
In this paper, the classification of finite p -groups is extended to the cartesian product of the quasidihedral group of order n 2 with a cyclic group of order 2
本文将有限p群的分类推广到n 2阶拟二面体群与2阶循环群的笛卡尔积
{"title":"2-Dimensional Subgroups of the Quasidihedral Group of Order 2n with a Cyclic Group of Order 2","authors":"S. Adebisi, M. Enioluwafe","doi":"10.22457/ijfma.v18n1a04218","DOIUrl":"https://doi.org/10.22457/ijfma.v18n1a04218","url":null,"abstract":"In this paper, the classification of finite p -groups is extended to the cartesian product of the quasidihedral group of order n 2 with a cyclic group of order 2","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"7 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":"125571808","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}
This paper studies a CETD model for finding the peak age group of people affected by Dengue in Nagapattinam District of Tamil Nadu, India. The data are analyzed by using fuzzy time dependent data matrices and some useful suggestions and concluding remarks are provided.
{"title":"An Analysis of Dengue Fever Using Fuzzy Matrix","authors":"R. Porchelvi, M.Slochana","doi":"10.22457/ijfma.v15n2a2","DOIUrl":"https://doi.org/10.22457/ijfma.v15n2a2","url":null,"abstract":"This paper studies a CETD model for finding the peak age group of people affected by Dengue in Nagapattinam District of Tamil Nadu, India. The data are analyzed by using fuzzy time dependent data matrices and some useful suggestions and concluding remarks are provided.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"74 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":"127338292","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 the polynomial interpolation of triangular fuzzy number is discussed. First general form of the polynomial with fuzzy coefficients is proposed. The hermite interpolation method is studied with triangular fuzzy number an example is provided to illustrate the algorithm.
{"title":"Hermite Interpolation with Triangular Fuzzy Numbers","authors":"T. Beaula, P. C. Mary","doi":"10.22457/ijfma.v14n2a13","DOIUrl":"https://doi.org/10.22457/ijfma.v14n2a13","url":null,"abstract":"In this paper the polynomial interpolation of triangular fuzzy number is discussed. First general form of the polynomial with fuzzy coefficients is proposed. The hermite interpolation method is studied with triangular fuzzy number an example is provided to illustrate the algorithm.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"76 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":"122664640","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.v18n1a01212
B. Jyothi, P. N. Swamy
The aim of this paper is to study the notion of irreducible and strongly irreducible bi-ideal of a near-algebra and fuzzy concepts of a near-algebra. Also, some characterizations are presented.
本文的目的是研究近代数的不可约和强不可约双理想的概念以及近代数的模糊概念。此外，还介绍了一些特征。
{"title":"Irreducible and Strongly Irreducible Bi-ideals of a NearAlgebra","authors":"B. Jyothi, P. N. Swamy","doi":"10.22457/ijfma.v18n1a01212","DOIUrl":"https://doi.org/10.22457/ijfma.v18n1a01212","url":null,"abstract":"The aim of this paper is to study the notion of irreducible and strongly irreducible bi-ideal of a near-algebra and fuzzy concepts of a near-algebra. Also, some characterizations are presented.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"37 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":"122643854","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}
This paper presents a continuous review two echelon inventory systems with two different items in stock, one is main product and other one is complement item for the main product. The operating policy at the lower echelon for the main product is (s, S) that is whenever the inventory level drops to ‘s’ on order for Q = (S-s) items is placed, the ordered items are received after a random time which is distributed as exponential. We assume that the demands accruing during the stock-out period are partially backlogged. The retailer replenishes the stock of main product from the supplier which adopts (0,M) policy. The complement product is replenished instantaneously from local supplier. The joint probability disruption of the inventory levels of main product, complement item at retailer and the main product at supplier are obtained in the steady state case. Various system performance measures are derived and the long run total expected inventory cost rate is calculated. Several instances of numerical examples, which provide insight into the behavior of the system, are presented.
本文提出了一个连续回顾两种不同库存项目的两级库存系统，一种是主要产品，另一种是主要产品的补充项目。主要产品的底层操作策略为(s, s)，即当Q = (s -s)项订单的库存水平降至s时，订购的产品在随机时间后以指数分布接收。我们假设在缺货期间产生的需求是部分积压的。零售商从采用(0,m)策略的供应商处补充主要产品的库存。补充产品立即从当地供应商补充。得到了稳态情况下零售商主产品、补品和供应商主产品库存水平的联合概率中断。导出了各种系统性能度量，并计算了长期总预期库存成本率。给出了几个数值例子，提供了对系统行为的深入了解。
{"title":"Modelling and Analysis of Compliment Inventory System in Supply Chain with Partial Backlogging","authors":"B. Jasmine, K. Krishnan","doi":"10.22457/ijfma.v15n2a6","DOIUrl":"https://doi.org/10.22457/ijfma.v15n2a6","url":null,"abstract":"This paper presents a continuous review two echelon inventory systems with two different items in stock, one is main product and other one is complement item for the main product. The operating policy at the lower echelon for the main product is (s, S) that is whenever the inventory level drops to ‘s’ on order for Q = (S-s) items is placed, the ordered items are received after a random time which is distributed as exponential. We assume that the demands accruing during the stock-out period are partially backlogged. The retailer replenishes the stock of main product from the supplier which adopts (0,M) policy. The complement product is replenished instantaneously from local supplier. The joint probability disruption of the inventory levels of main product, complement item at retailer and the main product at supplier are obtained in the steady state case. Various system performance measures are derived and the long run total expected inventory cost rate is calculated. Several instances of numerical examples, which provide insight into the behavior of the system, are presented.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"40 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":"126775770","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.v19n1a02224
Kishore Kumar P.K, Manshath A., H. Rashmanlou, Morteza Taheri, Y. Talebi, F. Mofidnakhaei
Vague graphs has found its importance in most recent years. It has played the vital role in many real life applications. The mathematical approach of blending different aspects of vague graphs gives a more generalized approach. As a result of it, we introduce the concepts of Complex vague graphs (CVG). In this chapter, we introduce certain notions including union, join, complement and composition of complex vague graphs. This helps in manipulating the real life applications in decision making problems. We also investigate on the ideas of homomorphisms of complex vague graphs. Finally we provide an application of CVG in launching a water reservoir in different locations.
{"title":"Some Operations on Complex Vague Graphs with Application","authors":"Kishore Kumar P.K, Manshath A., H. Rashmanlou, Morteza Taheri, Y. Talebi, F. Mofidnakhaei","doi":"10.22457/ijfma.v19n1a02224","DOIUrl":"https://doi.org/10.22457/ijfma.v19n1a02224","url":null,"abstract":"Vague graphs has found its importance in most recent years. It has played the vital role in many real life applications. The mathematical approach of blending different aspects of vague graphs gives a more generalized approach. As a result of it, we introduce the concepts of Complex vague graphs (CVG). In this chapter, we introduce certain notions including union, join, complement and composition of complex vague graphs. This helps in manipulating the real life applications in decision making problems. We also investigate on the ideas of homomorphisms of complex vague graphs. Finally we provide an application of CVG in launching a water reservoir in different locations.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"13 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":"126521461","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}
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