Humans are intended to make decisions in every walk of life. However, decisions made during the student life has a long-lasting impact on every human being. Sometimes, one may even land up in dilemma while taking decisions. Such dilemmas can be solved rationally by quantifying the information available for making the decision and using a mathematical apparatus called the distance measure. Hence, decision-making and distance measure are closely related to each other. Numerous decision-making problems are solved rationally with this mathematical apparatus. In this chapter, a distance measure is constructed on PFS, which is an extension of classical fuzzy set. The construction of the measure is motivated by a decision-making problem related to students which could not be solved by most of the existing measures in PFS. The characteristic of the measure is the difference in cross-information of the sets. The measure is thereafter applied to student-oriented MCDM problems to showcase its usability in real-life scenarios.

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Pythagorean Distance Measure Based on Cross-Information Difference and Its Application to Student-Oriented Decision-Making Problems

  • Chinmayee Devi,
  • Rituparna Chutia

摘要

Humans are intended to make decisions in every walk of life. However, decisions made during the student life has a long-lasting impact on every human being. Sometimes, one may even land up in dilemma while taking decisions. Such dilemmas can be solved rationally by quantifying the information available for making the decision and using a mathematical apparatus called the distance measure. Hence, decision-making and distance measure are closely related to each other. Numerous decision-making problems are solved rationally with this mathematical apparatus. In this chapter, a distance measure is constructed on PFS, which is an extension of classical fuzzy set. The construction of the measure is motivated by a decision-making problem related to students which could not be solved by most of the existing measures in PFS. The characteristic of the measure is the difference in cross-information of the sets. The measure is thereafter applied to student-oriented MCDM problems to showcase its usability in real-life scenarios.