Mathematics and Statistics Vol. 8(6), pp. 665 - 670
DOI: 10.13189/ms.2020.080606
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Measuring Given Partial Information about Intuitionistic Fuzzy Sets

Priya Arora ^1,*, V. P Tomar ^2
1 Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonepat, 131039, India
² Department of Mathematics, Deenbandhu Chhotu Ram University of Science and Technology, Murthal, Sonepat, India

ABSTRACT

Background: Measuring the information and removal of uncertainty are the essential nature of human thinking and many world objectives. Information is well used and beneficial if it is free from uncertainty and fuzziness. Shannon was the primitive who coined the term entropy for measure of uncertainty. He also gave an expression of entropy based on probability distribution. Zadeh used the idea of Shannon to develop the concept of fuzzy sets. Later on, Atanassov generalized the concept of fuzzy set and developed intuitionistic fuzzy sets. Purpose: Sometimes we do not have complete information about fuzzy set or intuitionistic fuzzy sets. Some partial information is known about them i.e either only few values of membership function or non membership function are known or a relationship between them is known or some inequalities governing these parameters are known. Kapur has measured the partial information given by a fuzzy set. In this paper, we have attempted to quantify partial information given by intuitionistic fuzzy sets by considering all the cases. Methodologies: We analyze some well-known definitions and axioms used in the field of fuzzy theory. Principal Results: We have devised methods to measure the incomplete information given about intuitionistic fuzzy sets. Major Conclusions: By devising the methods of measuring partial information about IFS, we can use this information to get an idea about the given set and use this information wisely to make a good decision.

KEYWORDS
Fuzzy Sets, Intuitionistic Fuzzy Sets, Entropy

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Priya Arora , V. P Tomar , "Measuring Given Partial Information about Intuitionistic Fuzzy Sets," Mathematics and Statistics, Vol. 8, No. 6, pp. 665 - 670, 2020. DOI: 10.13189/ms.2020.080606.

(b). APA Format:
Priya Arora , V. P Tomar (2020). Measuring Given Partial Information about Intuitionistic Fuzzy Sets. Mathematics and Statistics, 8(6), 665 - 670. DOI: 10.13189/ms.2020.080606.