Deepak Kumar

Work place: Department of Mathematics, Kumaun University, Nainital, Uttarakhand, India

E-mail: deepakdev16@gmail.com

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Biography

Deepak Kumar is an associate professor in the Department of Mathematics, Kumaun University, Nainital, Uttarakhand, India. He received his Bachelor’s, Master’s and Ph.D. degree from G.B. Pant University of Agri-culture and Technology, Uttarakhand, India. He has more than fifteen years of teaching and research experience and has published over 80 research papers in reputed SCI/Scopus-indexed journals, along with book chapters and conference publications. He has successfully supervised Ph.D. scholars and is actively involved as a reviewer for various reputed international journals. His research interests include fuzzy set theory, reliability theory, and their applications in reliability analysis of complex systems. Dr. Kumar has delivered invited lectures in his area of expertise and has contributed to organizing academic events such as conferences, seminars, and workshops. He has received numerous awards and recognitions for his contributions to research and academia.

Author Articles
Software Reliability Allocation using FAHP and Trapezoidal Fuzzy Set Theory

By Ankita Deepak Kumar

DOI: https://doi.org/10.5815/ijmsc.2026.03.02, Pub. Date: 8 Aug. 2026

Reliability of a software system is an important attribute of software quality, and its importance has increased significantly due to the growing demand for high-quality software systems. Evaluating reliability during the design phase is essential for improving system performance and ensuring effective planning. At this stage, an important challenge is to identify suitable methods for achieving the desired reliability of the software system. Reliability allocation methods can be applied to assign reliability targets to individual components prior to the actual system design. To address this, a new hierarchical model is proposed that integrates the perspectives of users, software programmers, and software managers. The system is decomposed into multiple levels, including functions, programs, modules, and submodules, to enable systematic analysis. To handle uncertainty and vagueness in human judgments, the fuzzy analytic hierarchy process (FAHP) is employed, incorporating the geometric mean method with trapezoidal fuzzy numbers. The proposed approach determines reliable weights and effectively allocates reliability targets at each level. A comparison with the classical AHP method demonstrates that FAHP provides a more flexible and realistic representation by capturing uncertainty, making it more suitable for reliability allocation in complex software systems.

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