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Modelling of Non-linear Multi-objective Programming and TOPSIS in Software Quality Assessment Under Picture Fuzzy Framework

In: Optimization Models in Software Reliability

Author

Listed:
  • Sameer Anand

    (University of Delhi)

  • Ritu Bibyan

    (University of Delhi)

  • Aakash

    (University of Delhi)

Abstract

The open-source software (OSS) market comprises of thousands of products and applications with different quality. The primary concern of the individuals and organizations is to evaluate the quality OSS products and packages. In this chapter, we have demonstrated a MCDM based model to assess the quality of OSS by taking performance and cost-based criteria related with OSS to analyze its quality on the basis of feedback gathered from the users and the experts. To avoid the uncertainty attached with the opinion of the expert, the Maximum-Entropy-Minimum-Variance-Ordered-Weighted-Aggregation (MEMV-OWA) operator has been incorporated. The criteria weights are calculated by solving a non-linear multi-objective programming problem proposed in the MEMV-OWA operator. The picture fuzzy set information has been used which is an addendum of intuitionistic fuzzy set, representing the human opinion more precisely. In this chapter, we have proposed a model named MEMV-OWA-PF-TOPSIS (Maximum Entropy Minimum Variance-Ordered Weighted Aggregation-Picture-Fuzzy-TOPSIS). A step by step procedure has been exhibited to show its implementation in real-life problems. A numerical illustration related to the software quality assessment of OSS on the basis of their performance and cost-based criteria has also been provided in this study.

Suggested Citation

  • Sameer Anand & Ritu Bibyan & Aakash, 2022. "Modelling of Non-linear Multi-objective Programming and TOPSIS in Software Quality Assessment Under Picture Fuzzy Framework," Springer Series in Reliability Engineering, in: Anu G. Aggarwal & Abhishek Tandon & Hoang Pham (ed.), Optimization Models in Software Reliability, pages 323-339, Springer.
    • Handle: RePEc:spr:ssrchp:978-3-030-78919-0_14
    DOI: 10.1007/978-3-030-78919-0_14
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