Non-Archimedean Fuzzy M-Metric Space and Fixed Point Theorems Endowed with a Reflexive Digraph

Anuradha, .; Mehra, Seema

doi:10.13189/ms.2019.070509

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“…Radzi and Ahmed [6] worked on fuzzy soft sets and found its application in TOPSIS. Anuradha, mehra et al [7] worked on Archimedean Fuzzy M-Metric Space and Fixed Point Theorems. Atanassov [8] developed the concept of Intuitionistic Fuzzy sets (IFS).…”

Section: Introductionmentioning

confidence: 99%

Measuring Given Partial Information about Intuitionistic Fuzzy Sets

Arora¹,

Tomar²

2020

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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.

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Section: Introductionmentioning

confidence: 99%

Measuring Given Partial Information about Intuitionistic Fuzzy Sets

Arora¹,

Tomar²

2020

View full text Add to dashboard Cite

show abstract

Non-Archimedean Fuzzy M-Metric Space and Fixed Point Theorems Endowed with a Reflexive Digraph

Cited by 1 publication

References 0 publications

Measuring Given Partial Information about Intuitionistic Fuzzy Sets

Measuring Given Partial Information about Intuitionistic Fuzzy Sets

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