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Multi-item EPQ model with learning effect on imperfect production over fuzzy-random planning horizon

Journal of Management Analytics 2017年第1期4卷 80-110页

作者： Amalesh Kumar Manna Barun Das Jayanta Kumar Dey Shyamal Kumar Mondal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar UniversityMidnapore-721102WBIndia Department of Mathematics Sidho-Kanho-Birsha UniversityPuruliaWBIndia Department of Mathematics Mahishadal Raj CollegeMahishadal721628WBIndia

Uncertainty is certain in the world of *** study revisits an economic production quantity(EPQ)model with shortages for stock-dependent demand of the items with reworking and disposing of the imperfect ones over a random planning horizon under the joint effect of inflation and time value of money,where the expected time length is imprecise in *** of learning effect has been incorporated to reduce the defective *** total expected profit over the random planning horizon is maximized subject to the imprecise space *** possibility,necessity and credibility measures have been introduced to defuzzify the *** simulation-based genetic algorithm is used to make decision for the above EPQ model in different measures of *** model is illustrated through an *** analysis shows the impacts of different parameters on the objective function in the model.

关键词： imperfect production rework shortage learning effect random planning horizon genetic algorithm

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International Journal of applied and Computational mathematics 2021年第3期7卷 1-28页

作者： Sen, Sanjib Patra, Kartik Mondal, Shyamal Kumar Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721 102 W.B. India Department of Mathematics Vivekananda Satavarshiki Mahavidyalaya Manikpara 721 513 W.B. India

In this present work, a new similarity measure of Gaussian fuzzy numbers has been proposed. The proposed method is based on the exponent distance about mean, standard deviation and height of the Gaussian fuzzy numbers. The similarity has been measured in two different forms of Gaussian fuzzy numbers. Some properties corresponding to the proposed new method of similarity measure have been discussed. Also, the proposed method has been demonstrated with some examples of Gaussian fuzzy numbers. Finally, the proposed similarity measure has been applied in a job selection procedure considering the linguistic values of the Gaussian fuzzy numbers. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.

关键词： Asymmetric form Gaussian fuzzy numbers Job selection Linguistic terms Linguistic values Similarity measure Symmetric form

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An EOQ Model with Breakable Items Considering Stock Dependent Demand and Lead Time Dependent Credit Period

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International Journal of applied and Computational mathematics 2021年第6期7卷 1-26页

作者： Mallick, Rabin Kumar Patra, Kartik Mondal, Shyamal Kumar Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721 102 W.B. India Department of Mathematics Department of Mathematics Vivekananda Satavarshiki Mahavidyalaya Manikpara Paschim Medinipur 721513 W.B. India

In this paper, an EOQ model for breakable items to a retailer has been studied. Here, demand of the business is stock dependent. The breakability of the items is dependent on stock and holding cost. Here, a credit period has been offered to the retailer, which depends on lead time. Stock dependent demand and breakability are balanced by the lead time dependent credit period. The main intention of the present model is to detect the optimal order quantity, optimal lead time and to maximize the total profit of the whole business. To test our proposed model, two numerical examples are also illustrated. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.

关键词： Breakability Credit period Lead time Supply chain

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Pricing Policy with the Effect of Fairness Concern, Imprecise Greenness, and Prices in Imprecise Market for a Dual Channel

Pricing Policy with the Effect of Fairness Concern, Imprecis...

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International Conference on Nonlinear applied Analysis and Optimization, ICNAAO-2021

作者： Ganguly, Sanchari Das, Pritha Maiti, Manoranjan Department of Mathematics Indian Institute of Engineering Science and Technology Shibpur WB Howrah711103 India Department of Applied Mathematics Oceanology and Computer Programming Vidyasagar University WB Midnapore721102 India

ISBN: (纸本)9789819905966

Fairness concern behavior, a well-known cognitive bias, refers to a person’s attitude of dissatisfaction for unequal pay-offs in someone’s favor. Against environmental pollution, many firms are focused on green manufacturing to maintain sustainable development. The adoption of online shopping by customers around the globe has altered the dynamics of competitiveness in the retail supply chain (SC). Considering the above facts, the effect of fairness concern on optimal prices and channel members’ profits in a two-level dual channel SC is investigated. Here, we consider an SC comprising a green manufacturer and a fair-minded retailer where the manufacturer produces and sells the green product through both offline and online channels to consumers. Due to uncertainty in the real world, the fuzziness is associated with market demand, price elasticity, and the coefficient of greenness. The fuzzy objectives and constraints are reduced to crisp ones using expectation and possibility measures, respectively. Both centralized and decentralized models (with and without cognitive bias) are formulated and solved by the Stackelberg game for the optimal prices and product greenness level. The models’ optimal solutions are analyzed and compared with the deterministic models numerically. The effects of the fairness concern coefficient on the optimal prices, product greenness level, and channel members’ profits are investigated. The sensitivity analyses are presented to study the effects of the fuzzy degree of customers’ sensitivity toward greenness on channel members’ profits. Retailer’s fairness is harmful to the manufacturer but beneficial for her own profit. Finally, some conclusions and managerial insights are presented. © 2023, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

关键词： Game theory

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Some results on generalized interval-valued intuitionistic fuzzy sets

Some results on generalized interval-valued intuitionistic f...

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作者： Bhowmik, Monoranjan Pal, Madhumangal Department of Mathematics V.T.T. College Midnapore West Bengal-721101 India Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore 721 102 India

In this paper, we define some results on generalized interval-valued intuitionistic fuzzy sets (GIVIFSs). In fact, all interval-valued intuitionistic fuzzy sets (IVIFSs) are GIVIFSs but all GIVIFSs are not IVIFSs. We define two composite relations, four types of reflexivity and irreflexivity of GIVIFSs with some of their properties. We define generalized interval-valued intuitionistic fuzzy relation (GIVIFR) with some results. Also we define two operators C and I with some properties over GIVIFSs. Finally, an illustrative example is given to using GIVIFSs in a decision making problem. © 2012 TFSA.

关键词： Decision making

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L(0,1)-Labelling of Cactus Graphs

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Communications and Network 2012年第1期4卷 18-29页

作者： Nasreen Khan Madhumangal Pal Anita Pal Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore India.Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore India.Department of Mathematics National Institute of Technology Durgapur Durgapur India.

An L(0,1)-labelling of a graph G is an assignment of nonnegative integers to the vertices of G such that the difference between the labels assigned to any two adjacent vertices is at least zero and the difference between the labels assigned to any two vertices which are at distance two is at least one. The span of an L(0,1)-labelling is the maximum label number assigned to any vertex of G. The L(0,1)-labelling number of a graph G, denoted by λ_0.1(G) is the least integer k such that G has an L(0,1)-labelling of span k. This labelling has an application to a computer code assignment problem. The task is to assign integer control codes to a network of computer stations with distance restrictions. A cactus graph is a connected graph in which every block is either an edge or a cycle. In this paper, we label the vertices of a cactus graph by L(0,1)-labelling and have shown that, △-1≤λ_0.1(G)≤△ for a cactus graph, where △ is the degree of the graph G.

关键词： Graph Labelling Code Assignment L(0 1)-Labelling Cactus Graph

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On some operations and density of m -polar fuzzy graphs

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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

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Some properties of m -polar fuzzy graphs

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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

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Different types of products on intuitionistic fuzzy graphs

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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

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Some Results on Interval-Valued Fuzzy Graphs

Some Results on Interval-Valued Fuzzy Graphs

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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

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