An Interval Type-2 Fuzzy Model of Computing with Words via Interval Type-2 Fuzzy Finite Rough Automata with Application in COVID-19 Deduction

Swati Yadav (), S. P. Tiwari, Mausam Kumari () and Vijay K. Yadav ()
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Swati Yadav: Department of Mathematics and Computing, Indian Institute of Technology (ISM), Dhanbad 826004, India
S. P. Tiwari: Department of Mathematics and Computing, Indian Institute of Technology (ISM), Dhanbad 826004, India
Mausam Kumari: ��Department of Mathematics, Central University of Rajasthan, NH-8, Bandarsindari, District-Ajmer, Rajasthan 305817, India
Vijay K. Yadav: ��Department of Mathematics, Central University of Rajasthan, NH-8, Bandarsindari, District-Ajmer, Rajasthan 305817, India

New Mathematics and Natural Computation (NMNC), 2022, vol. 18, issue 01, 61-101

Abstract: Classical automata, fuzzy automata, and rough automata with input alphabets as numbers or symbols are formal computing models with values. Fuzzy automata and rough automata are computation models with uncertain or imprecise information about the next state and can only process the string of input symbols or numbers. To process words and propositions involved in natural languages, we need a computation model to model real-world problems by capturing the uncertainties involved in a word. In this paper, we have shown that computing with word methodology deals with perceptions rather than measurements and allows the use of words in place of numbers and symbols while describing the real-world problems together with interval type-2 (IT2) fuzzy sets which have the capacity to capture uncertainties involved in word using its footprint of uncertainty. The rough set theory, which has potential of modeling vagueness in the imprecise and ill-defined environment, introduces a computation model, namely, IT2 fuzzy rough finite automata, which is efficient to process uncertainties involved in words. Further, we have shown the application of introduced IT2 fuzzy finite rough automaton in the medical diagnosis of COVID-19 patients.

Keywords: Interval type-2 fuzzy set; interval-type-2 fuzzy rough set; interval type-2 fuzzy finite rough automata (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S1793005722500053

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