In this paper, a new approach (cosecant similarity measure) is proposed to construct the decision method for medical diagnosis by using neutrosophic refined set. Also, we develop a technique to diagnose which patient is suffering from what disease.
{"title":"Neutrosophic Refined Sets in Medical Diagnosis","authors":"A. Samuel, R. Narmadhagnanam","doi":"10.22457/ijfma.v14n1a14","DOIUrl":"https://doi.org/10.22457/ijfma.v14n1a14","url":null,"abstract":"In this paper, a new approach (cosecant similarity measure) is proposed to construct the decision method for medical diagnosis by using neutrosophic refined set. Also, we develop a technique to diagnose which patient is suffering from what disease.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"47 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126834726","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.v19n2a06235
M. Hossen
In this research work, a fuzzy inventory model was developed for deteriorating items with time-dependent demand considering the inflation effect. Shortages if any are allowed and partially backlogged with a variable rate dependent on the duration of waiting time up to the arrival of the next lot. The corresponding problem has been formulated as a nonlinearly constrained optimization problem, all the cost parameters are fuzzy valued and solved. Numerical examples have been considered to illustrate the model and the significant features of the results are discussed. Finally, based on these examples, sensitivity analyses have been studied by taking one parameter at a time keeping the other parameters as same.
{"title":"A Fuzzy Inventory System of Inflation Effect and TimeRelated Demand","authors":"M. Hossen","doi":"10.22457/ijfma.v19n2a06235","DOIUrl":"https://doi.org/10.22457/ijfma.v19n2a06235","url":null,"abstract":"In this research work, a fuzzy inventory model was developed for deteriorating items with time-dependent demand considering the inflation effect. Shortages if any are allowed and partially backlogged with a variable rate dependent on the duration of waiting time up to the arrival of the next lot. The corresponding problem has been formulated as a nonlinearly constrained optimization problem, all the cost parameters are fuzzy valued and solved. Numerical examples have been considered to illustrate the model and the significant features of the results are discussed. Finally, based on these examples, sensitivity analyses have been studied by taking one parameter at a time keeping the other parameters as same.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"36 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":"123538016","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, fuzzy multi index bi-criteria fixed charge bottleneck transportation problem (FMIBCFCBTP) is considered and for the first time all parameters are taken as trapezoidal fuzzy numbers. An algorithm is developed to find fuzzy time-cost trade-off pairs of FMIBCFCBTP. A numerical example is given to explain the proposed algorithm.
{"title":"Optimal Solutions of the Fuzzy Multi Index Bi-criteria Fixed Charge Bottleneck Transportation Problem","authors":"Sungeeta Singh, R. Tuli, Deepali Sarod","doi":"10.22457/ijfma.v15n1a3","DOIUrl":"https://doi.org/10.22457/ijfma.v15n1a3","url":null,"abstract":"In this paper, fuzzy multi index bi-criteria fixed charge bottleneck transportation problem (FMIBCFCBTP) is considered and for the first time all parameters are taken as trapezoidal fuzzy numbers. An algorithm is developed to find fuzzy time-cost trade-off pairs of FMIBCFCBTP. A numerical example is given to explain the proposed algorithm.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"8 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":"126922011","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 continuous review inventory systems in a simple chain with two different substitutable items in stock. The demand for the products follows independent Poisson with rates λ1 and λ2 respectively for product and A and B. The common demand for both products at distributor follows Poisson distribution with rate λd .The operating policy at the lower echelon for the products are (si, Si) that is whenever the inventory level drops to ‘si’ on order for Qi = (Si-si) 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 lost. The retailer replenishes the stock of products from the supplier which adopts (0,M) policy. The joint probability disruption of the inventory levels of the products, at retailer and the products 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.
本文提出了一种具有两种不同可替代物品的简单链上的连续复核库存系统。产品和A、b的需求分别服从独立泊松分布，其速率分别为λ1和λ2。分销商对两种产品的共同需求服从泊松分布，速率为λd。产品在较低层次的操作策略为(si, si)，即当库存水平下降到' si '时，Qi = (si -si)产品的订单被放置，订购的产品在随机时间后以指数分布接收。我们假定在缺货期间积累的需求损失了。零售商从采用(0,m)策略的供应商那里补充产品库存。在稳态情况下，得到了零售商和供应商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。
{"title":"Performance Analysis of Substitutable Perishable Inventory System with Direct Demand in Supply Chain","authors":"C. Vasanthi, M. Kamaraj","doi":"10.22457/ijfma.v15n2a16","DOIUrl":"https://doi.org/10.22457/ijfma.v15n2a16","url":null,"abstract":"This paper presents continuous review inventory systems in a simple chain with two different substitutable items in stock. The demand for the products follows independent Poisson with rates λ1 and λ2 respectively for product and A and B. The common demand for both products at distributor follows Poisson distribution with rate λd .The operating policy at the lower echelon for the products are (si, Si) that is whenever the inventory level drops to ‘si’ on order for Qi = (Si-si) 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 lost. The retailer replenishes the stock of products from the supplier which adopts (0,M) policy. The joint probability disruption of the inventory levels of the products, at retailer and the products 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.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"64 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":"123987229","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 uniform integrability of fuzzy random variable is introduced. An attempt is made to study the uniformly absolutely continuous fuzzy valued functions and an equivalent condition for uniform integrable and uniformly absolutely continuous is determined.
{"title":"Uniform Integrability for Fuzzy Random Variables","authors":"J. Manora, R. Deepa","doi":"10.22457/ijfma.v14n1a18","DOIUrl":"https://doi.org/10.22457/ijfma.v14n1a18","url":null,"abstract":"In this paper the uniform integrability of fuzzy random variable is introduced. An attempt is made to study the uniformly absolutely continuous fuzzy valued functions and an equivalent condition for uniform integrable and uniformly absolutely continuous is determined.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"88 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":"126268213","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: 10.22457/205ijfma.v17n2a6
Dheargham Ali Abdulsada
. The goal of this paper is to introduce new sets called ( (cid:1) ȴ -closed set and (cid:1) ȴ -open set) defined on a intuitionistic topological space. A sufficient condition is presented to be a (cid:1) (cid:3) -closed set and (cid:1) ȴ -open set. And we also discuss union and intersection around these groups. Finally, we introduce a new intuitionistic separation axiom called (cid:4) ȴ (cid:5)/(cid:7) -space and verify its basic properties.
{"title":"Generalized Closed Set in Intuitionistic Fuzzy Topology","authors":"Dheargham Ali Abdulsada","doi":"10.22457/205ijfma.v17n2a6","DOIUrl":"https://doi.org/10.22457/205ijfma.v17n2a6","url":null,"abstract":". The goal of this paper is to introduce new sets called ( (cid:1) ȴ -closed set and (cid:1) ȴ -open set) defined on a intuitionistic topological space. A sufficient condition is presented to be a (cid:1) (cid:3) -closed set and (cid:1) ȴ -open set. And we also discuss union and intersection around these groups. Finally, we introduce a new intuitionistic separation axiom called (cid:4) ȴ (cid:5)/(cid:7) -space and verify its basic properties.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"36 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":"125753227","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 main aim of this paper is to introduce fuzzy αq open sets and fuzzy β q open sets in fuzzy q-topological spaces along with their several properties and characterization. We introduce fuzzyαq continuous function and fuzzy quad β q continuous function and obtain some of their basic properties.
{"title":"Fuzzy aq Open Sets and Fuzzy Open Sets in Fuzzy Quad Topological Space","authors":"Ranu Sharma, Bhagyashri A. Deole, Smita Verma","doi":"10.22457/ijfma.v15n2a3","DOIUrl":"https://doi.org/10.22457/ijfma.v15n2a3","url":null,"abstract":"The main aim of this paper is to introduce fuzzy αq open sets and fuzzy β q open sets in fuzzy q-topological spaces along with their several properties and characterization. We introduce fuzzyαq continuous function and fuzzy quad β q continuous function and obtain some of their basic properties.","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":"130009777","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.v18n1a07219
Ahmed R. Khlefha
In this paper we used quartic non-polynomial splines to improve a new numerical method for computing approximations to the solution of third order boundary value problems, and shown the new method gives approximations, which are better than those produced by other collocation, finite-difference, and spline methods. Convergence analysis of the method is discussed through standard procedures. A numerical example is given here to illustrate the efficiency and applicability of the novel method.
{"title":"Application of Non Polynomial Spline to Solve the Third Order Boundary Value Problems","authors":"Ahmed R. Khlefha","doi":"10.22457/ijfma.v18n1a07219","DOIUrl":"https://doi.org/10.22457/ijfma.v18n1a07219","url":null,"abstract":"In this paper we used quartic non-polynomial splines to improve a new numerical method for computing approximations to the solution of third order boundary value problems, and shown the new method gives approximations, which are better than those produced by other collocation, finite-difference, and spline methods. Convergence analysis of the method is discussed through standard procedures. A numerical example is given here to illustrate the efficiency and applicability of the novel method.","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":"130057106","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}
A molecular graph or a chemical graph is a simple graph related to the structure of a chemical compound. In this paper, we introduce the general fifth M-Zagreb indices and fifth M3-Zagreb index and their polynomials of a molecular graph. Also we compute the general fifth M-Zagreb indices and fifth M3-Zagreb index of PAMAM dendrimer graphs. Finally, we compute the fifth M3-Zagreb polynomial of PAMAM dendrimer graphs.
{"title":"General Fifth M-Zagreb Indices and Fifth M-Zagreb Polynomials of PAMAM Dendrimers","authors":"V.R.Kulli","doi":"10.22457/ijfma.v13n1a10","DOIUrl":"https://doi.org/10.22457/ijfma.v13n1a10","url":null,"abstract":"A molecular graph or a chemical graph is a simple graph related to the structure of a chemical compound. In this paper, we introduce the general fifth M-Zagreb indices and fifth M3-Zagreb index and their polynomials of a molecular graph. Also we compute the general fifth M-Zagreb indices and fifth M3-Zagreb index of PAMAM dendrimer graphs. Finally, we compute the fifth M3-Zagreb polynomial of PAMAM dendrimer graphs.","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":"133829631","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 propose a new approach for medical diagnosis with the symptoms of disease using intuitionistic fuzzy sets with extended modal operators for negation.
本文提出了一种基于广义模态算子的带有疾病症状的直觉模糊集的医学诊断方法。
{"title":"Intuitionistic Fuzzy Sets and its Applications in Medical Diagnosis","authors":"A. Samuel, S.Rajakumar","doi":"10.22457/ijfma.v14n1a6","DOIUrl":"https://doi.org/10.22457/ijfma.v14n1a6","url":null,"abstract":"In this paper, we propose a new approach for medical diagnosis with the symptoms of disease using intuitionistic fuzzy sets with extended modal operators for negation.","PeriodicalId":385922,"journal":{"name":"International Journal of Fuzzy Mathematical Archive","volume":"456 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":"124318637","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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