Journal
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES
Volume 88, Issue 1, Pages 15-26Publisher
NATL ACAD SCIENCES INDIA
DOI: 10.1007/s40010-016-0278-9
Keywords
Generalized parabolic fuzzy numbers; Defuzzification; Arithmetic operations; Fuzzy numbers
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In this paper, we have studied the basic arithmetic operations for two generalized positive parabolic fuzzy numbers by using the concept of the distribution and complementary distribution functions. The major advantage of these operations is that they do not need the computation of alpha-cut of the fuzzy number and hence it becomes more powerful where the standard method i.e., alpha-cuts method fails. Based on these operations, some elementary applications on mensuration have been illustrated and compared their results with generalized triangular fuzzy numbers.
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