Multi‐objective linear fractional inventory model with possibility and necessity constraints under generalised intuitionistic fuzzy set environment

Garai, Totan; Garg, Harish

doi:10.1049/trit.2019.0030

Cited by 32 publications

(13 citation statements)

References 43 publications

(39 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the future studies, we will extend the work to the different environment such as inventory model [48], stochastic model [49] etc., Apart from it, we will try to build a mathematical model related to (1) Direct distribution-includes the delivery of goods to all the retailers from the manufacturer; (2) Direct delivery of "Milk runs"-a "Milk run" is a path where a truck either sends a commodity to several retailers from a single manufacturer, or goes from multiple vendors to a specific distributor; (3) Deliveries through DC (distribution center)-vendors will not need to deliver products directly to the retailers in this form of transport design network. Distributions chains are split into specific regional areas and for each of those regions a centrally positioned DC is built.…”

Section: Resultsmentioning

confidence: 99%

Parameter estimation and optimization of multi-objective capacitated stochastic transportation problem for gamma distribution

Gupta

Garg

Chaudhary

2020

Complex Intell. Syst.

Self Cite

View full text Add to dashboard Cite

The transportation problem in real life is an uncertain problem with multi-objective decision-making. In particular, by considering the conflicting objectives/criteria such as transportation costs, transportation time, discount costs, labour costs, damage costs, decision maker searches for the best transportation setup to find out the optimum shipment quantity subject to certain capacity restrictions on each route. In this paper, capacitated stochastic transportation problem is formulated as a multi-objective optimization model along with some capacitated restrictions on the route. In the formulated problem, we assume that parameters of the supply and demand constraints' follow gamma distribution, which is handled by the chance constrained programming approach and the maximum likelihood estimation approach has been used to assess the probabilistic distributions of the unknown parameters with a specified probability level. Furthermore, some of the objective function's coefficients are consider as ambiguous in nature. The ambiguity in the formulated problem has been presented by interval type 2 fuzzy parameter and converted into the deterministic form using an expected value function approach. A case study on transportation illustrates the computational procedure.

show abstract

Section: Resultsmentioning

confidence: 99%

Parameter estimation and optimization of multi-objective capacitated stochastic transportation problem for gamma distribution

Gupta

Garg

Chaudhary

2020

Complex Intell. Syst.

Self Cite

View full text Add to dashboard Cite

show abstract

“…In the future, we shall lengthen the application of the proposed measure to the diverse fuzzy environment such as Pythagorean set [54][55][56], linguistic environment [57][58][59], as well as different fields of application such as supply chain management, emerging decision problems, risk evaluation, etc. [60][61][62][63] . Table 3:…”

Section: Resultsmentioning

confidence: 99%

Novel Exponential divergence measure of complex intuitionistic fuzzy sets with an application to decision-making process

Garg

Rani

2019

Scientia Iranica

Self Cite

View full text Add to dashboard Cite

As a generalization of the intuitionistic fuzzy sets (IFSs), complex IFSs (CIFSs) is a powerful and worthy tool to realize the imprecise information by using complex-valued membership degrees with an extra term, named as phase term. Divergence measure is a valuable tool to determine the degree of discrimination between the two sets. Driven by these fundamental characteristics, it is fascinating to manifest some divergence measures to the CIFSs. In this paper, we explain a method to solve the multi-criteria decision-making (MCDM) problem under CIFS environment. For it, firstly, the divergence measures are introduced between two CIFSs and examined their several properties and relations. Secondly, a novel algorithm is given based on the proposed measures to solve the problems in which weights corresponding to criteria are resolved using maximizing deviation method. Thirdly, a reasonable example is provided to verify the developed approach and to exhibit its practicality and utility with a comparative analysis to show its more manageable and adaptable nature.

show abstract

“…Meta-heuristic algorithms have been frequently employed to solve computational engineering problems [11][12][13][14][15][16][17]. For example, Hoang [11] integrated history-based adaptive differential evolution and linear population size reduction to find the optimal hyperparameters of the support vector machine for pitting corrosion detection.…”

Section: Introductionmentioning

confidence: 99%

Multiobjective Real-Time Scheduling of Tasks in Cloud Manufacturing with Genetic Algorithm

Ahn

Hur

2021

Mathematical Problems in Engineering

View full text Add to dashboard Cite

In cloud manufacturing, customers register customized requirements, and manufacturers provide appropriate services to complete the task. A cloud manufacturing manager establishes manufacturing schedules that determine the service provision time in a real-time manner as the requirements are registered in real time. In addition, customer satisfaction is affected by various measures such as cost, quality, tardiness, and reliability. Thus, multiobjective and real-time scheduling of tasks is important to operate cloud manufacturing effectively. In this paper, we establish a mathematical model to minimize tardiness, cost, quality, and reliability. Additionally, we propose an approach to solve the mathematical model in a real-time manner using a multiobjective genetic algorithm that includes chromosome representation, fitness function, and genetic operators. From the experimental results, we verify whether the proposed approach is effective and efficient.

show abstract

Multi‐objective linear fractional inventory model with possibility and necessity constraints under generalised intuitionistic fuzzy set environment

Cited by 32 publications

References 43 publications

Parameter estimation and optimization of multi-objective capacitated stochastic transportation problem for gamma distribution

Parameter estimation and optimization of multi-objective capacitated stochastic transportation problem for gamma distribution

Novel Exponential divergence measure of complex intuitionistic fuzzy sets with an application to decision-making process

Multiobjective Real-Time Scheduling of Tasks in Cloud Manufacturing with Genetic Algorithm

Contact Info

Product

Resources

About