Multi-choice programming: an overview of theories and applications

Singh, Shalabh; Sonia, .

doi:10.1080/02331934.2017.1339704

Cited by 18 publications

(5 citation statements)

References 97 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…A MCPP is a type of mathematical programming problem where the requirement is to choose an alternative from several possible combinations of parameters to optimize an objective function subject to a set of constraints 76–78 . The situation where a parameter consists of multiple choices exists in many managerial real‐life decision‐making problems.…”

Section: Proposed Approachmentioning

confidence: 99%

Multi‐choice best‐worst multi‐criteria decision‐making method and its applications

Hasan¹,

Ashraf

Khan

2021

Int J of Intelligent Sys

View full text Add to dashboard Cite

The best‐worst method (BWM) is a multi‐criteria decision‐making (MCDM) approach for solving several types of real‐life decision‐making problems. The basic BWM determines the priority order by pairwise comparisons of the best and worst criteria. The strength of the preference assigned via numerical value for linguistic interpretations of relative comparisons ranges from 1 to 9, representing preferences among the criterion. However, the amount of strength is entirely dependent on the choice of the decision‐makers. Though expert's opinions may differ due to various reasons such as incomplete information, lack of knowledge, ambiguity in linguistic terms, and so forth. Therefore, it is highly likely that the expert may provide multiple viewpoints for the preferences values. Thus, this study proposes a novel extension of the BWM named the multi‐choice best‐worst method (MCBWM), dealing with the concept of multiple choices of preference relations to compare the criterion. The MCBWM overcomes the limitation of BWM, where the pairwise preferences in the comparisons are multi‐choice parameters rather than single parametric values. Multiple real‐world MCDM applications are illustrated in experimental studies to show the quality, performance, and applicability of our proposed MCBWM. A detailed comparative analysis of the proposed approach has been done with the well‐known existing decision‐making techniques and their optimal results are compared. The proposed method offers a new direction for the MCDM approaches for solving real‐life problems.

show abstract

Section: Proposed Approachmentioning

confidence: 99%

Multi‐choice best‐worst multi‐criteria decision‐making method and its applications

Hasan¹,

Ashraf

Khan

2021

Int J of Intelligent Sys

View full text Add to dashboard Cite

show abstract

“…11 ,c + {c 1 (1) 31 ,c 1 (2) 31 ,c 1 (3) 31 }x 1 31 + {c 2 (1) 31 ,c 2 (2) 31 ,c 2 (3) 31 }x 2…”

Section: Numerical Exampleunclassified

“…MCP is highly applicable in real-life decision making. For example, a logistics and distribution company such as FedEx may charge different shipping costs for the same product from different customers based on their responsiveness [1]. MCP has been widely studied in the literature.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Multi-choice Linear Programming in Fuzzy Random Hybrid Uncertainty Environment and Their Application in Multi-commodity Transportation Problem

Nasseri

Bavandi

2020

Fuzzy Information and Engineering

View full text Add to dashboard Cite

In this paper, due to increasing competition in the business world, which makes decision makers dealing with multiple options/ information for optimal decisions on a single task, we will look at multi-choice programming in hybrid fuzzy random environment. Alternative choices multi-choice parameters are considered as fuzzy random variables. By using polynomials interpolation for each multichoice parameter, the model is transformed into a fuzzy random programming problem. Then, to convert this model to its deterministic form, we use the concept of the mean value of fuzzy random variables. Finally, to validate the proposed mathematical operations, we solve a multi-commodity transportation problem with fuzzy random multi-choice parameters.

show abstract

“…The basis of the method is multichoice mathematical programming [29,30], where multiple choices are associated with parameters. An exhaustive literature review on multichoice programming was performed by Shalabh and Sonia [31]. Numerous real-world decision-making problems involve scenarios with multiple parameter value options.…”

Section: Introductionmentioning

confidence: 99%

A Group Decision-Making Approach in MCDM: An Application of the Multichoice Best–Worst Method

2023

View full text Add to dashboard Cite

Multicriteria decision-making (MCDM) techniques have successfully been used to address a wide range of real-world decision-making issues. The best–worst method (BWM) is one of the several deterministic MCDM approaches. A recently proposed method called the multichoice best–worst method (MCBWM) takes into account several linguistic terms for pairwise comparisons of relative preferences among the criteria. It has been shown that the MCBWM approach has advantages over BWM: it reduces the calculation and determines optimal weight values by providing the choices for the optimal solution. This paper proposes a unique method for group decision-making based on MCBWM. We extended the MCBWM to solve group decision-making problems. A novel solution approach was developed and validated for multiple problems. Two examples and one case study were solved using the proposed approach to demonstrate the validity and application of the proposed method. The results were further compared with existing models to validate the proposed approach. We found that the obtained ranking order for all problems is the same and that the proposed model has a higher consistency ratio than the existing approaches. This method can be extended to other mathematical programming models for collective decision making in uncertain situations.

show abstract

Multi-choice programming: an overview of theories and applications

Cited by 18 publications

References 97 publications

Multi‐choice best‐worst multi‐criteria decision‐making method and its applications

Multi‐choice best‐worst multi‐criteria decision‐making method and its applications

Multi-choice Linear Programming in Fuzzy Random Hybrid Uncertainty Environment and Their Application in Multi-commodity Transportation Problem

A Group Decision-Making Approach in MCDM: An Application of the Multichoice Best–Worst Method

Contact Info

Product

Resources

About