Integrated approach of superiority and inferiority ranking method with interval-valued intuitionistic fuzzy cognitive map (IVIFCM) for analyzing the online resource tools used in teaching and learning during Covid-19 in India

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Abstract

Fuzzy Cognitive Maps (FCM) are used to model the relationships between criteria and to handle high level of
uncertainty. Multi criteria decision making (MCDM) is fascinating method to choose the optimal alternative from
multiple alternatives according to some criteria. To deal with uncertainty in high complex non-linear problems
FCMs are used whereas in problems involving decision making, to estimate the strength of the relationship
is difficult. Inter-Valued Intuitionistic Fuzzy Cognitive Map is used to find the precise values in multi criteria
decision making. In the recent researches to prioritize the products various ranking methods are applied. SIRSuperiority
and Inferiority ranking method is a novel one with two types of flows superiority and inferiority through
which the set of alternatives are ranked partially or completely. In this paper, the new integrated approach of
Interval-Valued intuitionistic Fuzzy Cognitive Map (IVIFCM) with SIR is introduced and the effectiveness of the
approach along with practicality is verified through the illustrative example of analyzing the best online resource
tools used in higher education during the pandemic season in most of the countries with various criteria.

Keywords:

Multi-Criteria Decision Making, Fuzzy Cognitive Map, Interval-Valued intuitionistic Fuzzy Cognitive Map, Intuitionistic Fuzzy, Superiority and Inferiority Ranking method

Mathematics Subject Classification:

Mathematics
  • Pages: 533-538
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

Atanassov, K. T. Interval valued intuitionistic fuzzy sets. In Intuitionistic Fuzzy Sets (pp. 139-177). Physica, Heidelberg. (1999)

Bokde, V., Kharbikar, H. L., Roy, M. L., Joshi, P., & Ga, A. Possible impacts of COVID-19 pandemic and lockdown on education sector in India. Food Sci. Rep, $(2020), 1-7$

Hajek, P., & Froelich, W., Integrating TOPSIS with interval-valued intuitionistic fuzzy cognitive maps for effective group decision making. Information Sciences, $485(2019), 394-412$.

Hajek, P., & Prochazka, O., Interval-valued intuitionistic fuzzy cognitive maps for supplier selection. In International Conference on Intelligent Decision Technologies (pp. 207-217). Springer, Cham, (2017).

Jian, J., Zhan, N., & Su, J., A novel superiority and inferiority ranking method for engineering investment selection under interval-valued intuitionistic fuzzy environment. Journal of Intelligent & Fuzzy Systems, 37(5), 6645-6653. (2019). (IOS Press) https://content.iospress.com/articles/journalof-intelligent-and-fuzzy-systems/ifs $190001 mathrm{DOI}$ : $10.3233 / mathrm{JFS}-190001$

Nambiar, D., The impact of online learning during COVID-19: students' and teachers' perspective. The International Journal of Indian Psychology, 8(2)(2020), 783-793.

Nayagam, V. L. G., Muralikrishnan, S., & Sivaraman, G., Multi-criteria decision-making method based on intervalvalued intuitionistic fuzzy sets. Expert Systems with Applications, 38(3)(2011), 1464-1467.

text { [8] } mathrm{Xu}, mathrm{X} text {., The SIR method: A superiority and inferiority } ranking method for multiple criteria decision making. European journal of operational research, 131(3)(2001), $587-602$.

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Published

01-01-2021

How to Cite

M. Fabiana Jacintha Mary, and M. Mary Mejrullo Merlin. “Integrated Approach of Superiority and Inferiority Ranking Method With Interval-Valued Intuitionistic Fuzzy Cognitive Map (IVIFCM) for Analyzing the Online Resource Tools Used in Teaching and Learning During Covid-19 in India”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 533-8, https://www.malayajournal.org/index.php/mjm/article/view/1072.