检索结果-内蒙古大学图书馆

On hesitant multi-fuzzy soft topology

Pacific Science Review B: Humanities and Social Sciences 2015年第3期1卷 124-130页

作者： Asit Dey Madhumangal Pal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721102 India

The aim of this paper is to introduce and study the concept of hesitant multi-fuzzy soft topological space and some of its structural properties, such as the neighbourhood of hesitant multi-fuzzy soft sets and interior hesitant multi-fuzzy soft sets, the hesitant multi-fuzzy soft basis and hesitant multi-fuzzy soft subspace topology. Additionally, we introduce and define the hesitant multi-fuzzy soft cover, hesitant multi-fuzzy soft open cover, and hesitant multi-fuzzy soft compactness, and some important results on them are presented.

关键词： Hesitant multi-fuzzy soft basis Hesitant multi-fuzzy soft subspace topology Hesitant multi-fuzzy soft cover Hesitant multi-fuzzy soft open cover Hesitant multi-fuzzy soft compactness 54A05 54A40 03E72 54D30 54A10

来源：评论

学校读者我要写书评

暂无评论

A novel reduction method for type-2 uncertain normal critical values and its applications on 4D profit transportation problem involving damageable and substitute items

引用

International Journal of applied and Computational mathematics 2021年第4期7卷 1-30页

作者： Sahoo, Palash Jana, Dipak Kumar Pramanik, Sutapa Panigrahi, Goutam Department of Mathematics National Institute of Technology Durgapur Durgapur 713209 West Bengal India School of Applied Sciences & Humanities Haldia Institute of Technology Haldia Purba Midnapur 721657 West Bengal India Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721102 West Bengal India

In this paper, we developed and investigated some four-dimensional profit maximization transportation problems considering damageablity and substitutability, where the parameters are of a type-2 normal uncertain variable in nature. Here, unit transportation cost, distances of the paths, fixed charges, rate of breakability, availability, demands, capacities of conveyances, the unit selling price, unit purchasing cost, unit procurement cost are regarded as type-2 normal uncertain variables. Two models are formulated based on two separate criteria of the substitution items. We use a critical value-based reduction method to reduce type-2 normal uncertain variables into type-1 normal uncertain variables and then apply some properties of uncertainty theory to convert the profit transportation parameters into deterministic form. The two deterministic models are solved using the optimization software named LINGO -18.0. A real-life numerical example and optimal results are presented here to show the application of the proposed model and the proposed reduction method. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.

关键词： Critical value Four dimensional profit transportation problem Reduction method Type-2 normal uncertain variables

来源：评论

学校读者我要写书评

暂无评论

On some operations and density of m -polar fuzzy graphs

引用

Pacific Science Review A: Natural Science and Engineering 2015年第1期17卷 14-22页

作者： Ganesh Ghorai Madhumangal Pal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721 102 India

The theoretical concepts of graphs are highly utilized by computer science applications, social sciences, and medical sciences, especially in computer science for applications such as data mining, image segmentation, clustering, image capturing, and networking. Fuzzy graphs, bipolar fuzzy graphs and the recently developed m -polar fuzzy graphs are growing research topics because they are generalizations of graphs (crisp). In this paper, three new operations, i.e., direct product, semi-strong product and strong product, are defined on m -polar fuzzy graphs. It is proved that any of the products of m -polar fuzzy graphs are again an m -polar fuzzy graph. Sufficient conditions are established for each to be strong, and it is proved that the strong product of two complete m -polar fuzzy graphs is complete. If any of the products of two m -polar fuzzy graphs G 1 and G 2 are strong, then at least G 1 or G 2 must be strong. Moreover, the density of an m -polar fuzzy graph is defined, the notion of balanced m -polar fuzzy graph is studied, and necessary and sufficient conditions for the preceding products of two m -polar fuzzy balanced graphs to be balanced are established. Finally, the concept of product m -polar fuzzy graph is introduced, and it is shown that every product m -polar fuzzy graph is an m -polar fuzzy graph. Some operations, like union, direct product, and ring sum are defined to construct new product m -polar fuzzy graphs.

关键词： m -polar fuzzy graphs Direct product Semi-strong product Strong product Balanced m-polar fuzzy graph Product m-polar fuzzy graph

来源：评论

学校读者我要写书评

暂无评论

Some properties of m -polar fuzzy graphs

引用

Pacific Science Review A: Natural Science and Engineering 2016年第1期18卷 38-46页

作者： Ganesh Ghorai Madhumangal Pal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721 102 India

In many real world problems, data sometimes comes from n agents ( n ≥ 2), i.e., “multipolar information” exists. This information cannot be well-represented by means of fuzzy graphs or bipolar fuzzy graphs. Therefore, m -polar fuzzy set theory is applied to graphs to describe the relationships among several individuals. In this paper, some operations are defined to formulate these graphs. Some properties of strong m -polar fuzzy graphs, self-complementary m -polar fuzzy graphs and self-complementary strong m -polar fuzzy graphs are discussed.

关键词： m -polar fuzzy sets Generalized m -polar fuzzy graphs Isomorphisms Strong and self-complementary m -polar fuzzy graphs 05C72 05C76

来源：评论

学校读者我要写书评

暂无评论

Fuzzy ϕ -tolerance competition graphs

引用

Soft Computing 2017年第13期21卷 3723-3734页

作者： Pramanik, Tarasankar Samanta, Sovan Sarkar, Biswajit Pal, Madhumangal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721 102 India Department of Industrial & Management Engineering Hanyang University Ansan Gyeonggi-do 426 791 South Korea Department of Mathematics Joykrishnapur High School (H.S.) Tamluk 721649 India

In this paper, fuzzy ϕ-tolerance competition graphs are defined. Several interesting properties are investigated. Here ϕ is any real valued function. Particular cases of ϕ, viz. minimum, maximum and sum are considered. A daily life problem is modelled using fuzzy min-tolerance competition graph. Few properties are investigated for fuzzy tolerance graphs. © 2016, Springer-Verlag Berlin Heidelberg.

关键词： Fuzzy competition graphs Fuzzy tolerance graphs ϕ-tolerance competition graph

来源：评论

学校读者我要写书评

暂无评论

Different types of products on intuitionistic fuzzy graphs

引用

Pacific Science Review A: Natural Science and Engineering 2015年第3期17卷 87-96页

作者： Sankar Sahoo Madhumangal Pal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721 102 India

In this paper, we define three operations on intuitionistic fuzzy graphs, viz. direct product, semi-strong product and strong product. In addition, we investigated many interesting results regarding the operations. Moreover, it is demonstrated that any of the products of strong intuitionistic fuzzy graphs are strong intuitionistic fuzzy graphs. Finally, we defined product intuitionistic fuzzy graphs and investigated many interesting results.

关键词： Intuitionistic fuzzy graphs Direct product Semi-strong product Strong product Product intuitionistic fuzzy graphs

来源：评论

学校读者我要写书评

暂无评论

Some Results on Interval-Valued Fuzzy Graphs

Some Results on Interval-Valued Fuzzy Graphs

引用

3rd International Multi-Conference on Computer, Electrical, Electronics and Mechanical Engineering (IMCEEME’15);3rd International Multi-Conference on Agricultural Chemical, Biological and Ecosystems (IMACBE’15)

作者： Madhumangal Pal Sovan Samanta Hossein Rashmanlou Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University

Theoretical concepts of graphs are highly utilized in applications of computer science especially in research area of computer science such as data mining, image segmentation, clustering, image capturing and networking. An interval-valued fuzzy graph can be obtained from two given interval-valued fuzzy graphs using Cartesian product and composition. In this paper, we introduced the degree of an edge and total degree of an edge. Likewise, we established the degree of an edge in interval-valued fuzzy graphs formed by these operations in terms of the degree of edges in the given interval-valued fuzzy graphs in some particular cases.

关键词： Cartesian product,Degree of an edge Composition,Total edge degree

来源：评论

学校读者我要写书评

暂无评论

Easy and improved algorithms to joint determination of the replenishment lot size and number of shipments for an EPQ model with rework

引用

Mathematical and Computational Applications 2013年第2期18卷 132-138页

作者： Cárdenas-Barrón, Leopoldo Eduardo Sarkar, Biswajit Trevino-Garza, Gerardo Department of Industrial and Systems Engineering School of Engineering Tecnológico de Monterrey E. Garza Sada 2501 Sur C.P. 64849 Monterrey Mexico Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University West Midnapore 721102 West Bengal India

Recently, in Mathematical and Computational Applications Journal Chiu et al. [1] and Chen and Chiu [2] propose an inventory model based on EPQ with rework to determine the replenishment lot size and the number of shipments for a vendor-buyer integrated production-inventory system. They solve the inventory problem by considering both variables as continuous. However, the number of shipments must be considered as discrete variable. In this direction, this paper revisits and solves the inventory problem of [1-2] considering the decision variables according to their nature. Two easy and improved algorithms are proposed which simplify and complement the research works of [1-2].

关键词： Inventory control

来源：评论

学校读者我要写书评

暂无评论

Three-layer supply chain in an imperfect production inventory model with two storage facilities under fuzzy rough environment

引用

Journal of Uncertainty Analysis and Applications 2014年第1期2卷 1-31页

作者： Amalesh Kumar Manna Jayanta Kumar Dey Shyamal Kumar Mondal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore India Department of Mathematics Mahishadal Raj College Mahishadal India

This article focuses on an imperfect production inventory model considering product reliability and reworking of imperfect items in three-layer supply chain under fuzzy rough environment. In the model, the supplier receives the raw materials, all are not of perfect quality, in a lot and delivers the items of superior quality to the manufacturer and the inferior quality items are sold at a reduced price in a single batch by the end of the cent percent screening process. The manufacturer produces a mixture of perfect and imperfect quality items. A portion of the imperfect items is transformed into perfect quality items after rework. Another portion of imperfect items, termed as `less perfect quality items', is sold at a reduced price to the retailer, and the portion which cannot be either transformed to the perfect quality items or sold at a reduce price is being rejected. Here, retailer purchases both the perfect and imperfect quality items from the manufacturer to sell the items to the customers through his/her respective showrooms of finite capacities. A secondary warehouse of infinite capacity is hired by the retailer on rental basis to store the excess quantity of perfect quality items. This model considers the impact of business strategies such as optimal order size of raw materials, production rate, and unit production cost in different sectors in a collaborating marketing system that can be used in the industry, like textile, footwear, and electronics goods. An analytical method has been used to optimize the production rate and raw material order size for maximization of the average profit of the integrated model. Finally, a numerical example is given to illustrate the model.

关键词：

来源：评论

学校读者我要写书评

暂无评论

A supplier selection model with fuzzy risk analysis using the balanced solution technique with a soft set

引用

Pacific Science Review A: Natural Science and Engineering 2016年第3期18卷 162-168页

作者： Kartik Patra Shyamal Kumar Mondal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721102 West Bengal India

In this paper, a supplier selection model was developed for a retailer. Suppliers have different influence factors that have a risk of profit loss or less profit as well as a loss of goodwill to a retailer. Thus, a retailer must choose a supplier that can provide better profit and better goodwill. Different suppliers have different business policies. Here, different risk factors and their corresponding severity in profit loss and goodwill loss are considered as a fuzzy number. Next, the total risk in profit loss and goodwill loss is formulated. To select a supplier with the minimum risk, a balanced solution of the soft set theory was applied to a numerical example.

关键词： Risk Supplier selection Balanced solution General fuzzy number Soft set

来源：评论

学校读者我要写书评

暂无评论

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案：

请选择收藏分类：

通借通还

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：