Title: De-i-fuzzification of linear interval-valued intuitionistic fuzzy number and its application in operation research arena

Authors: Avishek Chakraborty; Shilpi Pal; Sankar Prasad Mondal; Shariful Alam

Addresses: Department of Basic Science, Narula Institute of Technology, Kolkata-700109, West Bengal, India ' Department of Basic Science, Narula Institute of Technology, Kolkata-700109, West Bengal, India ' Department of Applied Science, Maulana Abul Kalam Azad University of Technology, West Bengal, Haringhata-721249, Nadia, West Bengal, India ' Department of Mathematics, Indian Institute of Engineering Science and Technology, Shibpur, Howrah, Kolkata-711103, West Bengal, India

Abstract: In this article, we have envisaged the linear interval valued intuitionistic fuzzy number (IVIFN) from various viewpoints. We have introduced the technique of ranking by using the concept of distance measure of linear interval valued intuitionistic fuzzy number. Additionally, the concept of de-i-fuzzification is introduced here using two disjunctive logical approaches and its result is explained in this article which will help us converting a linear interval valued intuitionistic fuzzy number into a crisp number. Lastly, the validation of the model is observed by using two different real life problems firstly, in inventory control and secondly, in transportation arena. The paper suggests two different methods of de-intuitification in linear interval valued intuitionistic fuzzy domain and the comparison between the two methods by using a suitable algorithm has been observed in above real life scenarios that connects all invented results.

Keywords: linear IVIFN; ranking; distance measure; de-i-fuzzification; inventory control; transportation problem.

DOI: 10.1504/IJOR.2023.131494

International Journal of Operational Research, 2023 Vol.47 No.2, pp.143 - 172

Received: 23 Dec 2019
Accepted: 01 Jul 2020
Published online: 15 Jun 2023 *

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