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}
Pub Date : 1900-01-01DOI: 10.22457/ijfma.v18n1a02207
Hemanta K. Baruah
The formula available in the literature to find the sum of two discrete fuzzy numbers needs a major change. We have shown in this article with the help of numerical examples as to why the existing formula does not quite look logical. We are going to put forward a different formula to find the sum using the weighted average of the levels of presence of the discrete fuzzy numbers concerned. With numerical examples we have shown that our proposed formula does return expected results.
{"title":"An Alternate Formula for Addition of Discrete Fuzzy Numbers","authors":"Hemanta K. Baruah","doi":"10.22457/ijfma.v18n1a02207","DOIUrl":"https://doi.org/10.22457/ijfma.v18n1a02207","url":null,"abstract":"The formula available in the literature to find the sum of two discrete fuzzy numbers needs a major change. We have shown in this article with the help of numerical examples as to why the existing formula does not quite look logical. We are going to put forward a different formula to find the sum using the weighted average of the levels of presence of the discrete fuzzy numbers concerned. With numerical examples we have shown that our proposed formula does return expected results.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"27 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":"123745305","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}
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: 10.22457/202ijfma.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}
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}
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}
Pub Date : 1900-01-01DOI: 10.22457/ijfma.v19n2a05234
Md. Saiful Islam, Md. Sahadat Hossain, Md. Aman Mahbub
The purpose of this paper is to give some new notions of intuitionistic fuzzy regular spaces and investigate the relationship among them. Also the relations between our notions and other given notion of intuitionistic fuzzy regular spaces have been investigated. Moreover it is shown that all these notions satisfy hereditary property of regular spaces. Finally it is shown that under some conditions image and preimage preserve intuitionistic fuzzy regular spaces.
{"title":"On Intuitionistic Fuzzy r-Regular Spaces","authors":"Md. Saiful Islam, Md. Sahadat Hossain, Md. Aman Mahbub","doi":"10.22457/ijfma.v19n2a05234","DOIUrl":"https://doi.org/10.22457/ijfma.v19n2a05234","url":null,"abstract":"The purpose of this paper is to give some new notions of intuitionistic fuzzy regular spaces and investigate the relationship among them. Also the relations between our notions and other given notion of intuitionistic fuzzy regular spaces have been investigated. Moreover it is shown that all these notions satisfy hereditary property of regular spaces. Finally it is shown that under some conditions image and preimage preserve intuitionistic fuzzy regular spaces.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"241 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":"133612776","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 compute the number of distinct fuzzy subgroups of elementary abelian groups of the form Z Z p p × and quaternion groups of the form Q4 p with respect to an equivalence relation ≈ existing in literature. The group algorithm programming (GAP) was applied in our computation.
本文就文献中存在的等价关系≈,计算了形式为Z Z p p x的初等阿贝尔群和形式为Q4 p的四元数群的不同模糊子群的个数。我们的计算采用了群算法规划(GAP)。
{"title":"On the Number of Distinct Fuzzy Subgroups for Some Elementary Abelian Groups and Quaternion Groups","authors":"Olayiwola Abdulhakeem, Suleiman Bashir Adamu","doi":"10.22457/ijfma.v13n1a3","DOIUrl":"https://doi.org/10.22457/ijfma.v13n1a3","url":null,"abstract":"In this paper we compute the number of distinct fuzzy subgroups of elementary abelian groups of the form Z Z p p × and quaternion groups of the form Q4 p with respect to an equivalence relation ≈ existing in literature. The group algorithm programming (GAP) was applied in our computation.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"29 3-4","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132031283","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 concept of semi weakly compatibility of maps on a ∈-chainable intuitionistic fuzzy metric space introduced by Manro et al. and established some results regarding common fixed point for such mappings in this newly defined space. Our results generalize the result of Kumar et al. Manro et al. and others.
{"title":"Common Fixed Point of Semi-Weakly Compatible Maps on ∈-Chainable Intutionistic Fuzzy Metric Space","authors":"R.K. Sharma, Sonal Bhart","doi":"10.22457/ijfma.v11n2a4","DOIUrl":"https://doi.org/10.22457/ijfma.v11n2a4","url":null,"abstract":"In this paper, we introduce the concept of semi weakly compatibility of maps on a ∈-chainable intuitionistic fuzzy metric space introduced by Manro et al. and established some results regarding common fixed point for such mappings in this newly defined space. Our results generalize the result of Kumar et al. Manro et al. and others.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"29 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":"134108526","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}