in this paper the solution of a second order linear dierential equations with intu-itionistic fuzzy boundary value is described. it is discussed for two dierent cases: coecientis positive crisp number and coecient is negative crisp number. here fuzzy numbers aretaken as generalized trapezoidal intutionistic fuzzy numbers (gtrifns). further a numericalexample is illustrated.

Pythagorean fuzzy set (PFS) is a broadening of intuitionistic that can represent the situations where sum membership and non-membership values exceeds one. Adding parameterization to PFS, we obtain structure named as soft (PFSS). It has higher capacity deal with vagueness it captures both structures PFS set. Several practical demand measure similarity between two structures, whose value There a...

Abstract A Pythagorean fuzzy set is very effective mathematical framework to represent parameter-wise imprecision which the property of linguistic communication. soft graph more potent than intuitionistic as well it depicts interactions among objects a system using membership grades with respect different parameters. This article addresses content competition graphs economic like k -competition...

A new musical scale devised by the author, based on natural logarithms, is described. Most of the logarithmic pitches bear no correspondence to the twelve tones of the ancient tuning system attributed to Pythagoras, based on ratios of whole numbers, nor to the chromatic tones of scales in equal temperament used widely in the modern era. Logarithms obey a special arithmetic compared to whole and...

the importance as well as the difficulty of the problem of ranking fuzzy numbers is pointed out. here we consider approaches to the ranking of fuzzy numbers based upon the idea of associating with a fuzzy number a scalar value, its signal/noise ratios, where the signal and the noise are defined as the middle-point and the spread of each $gamma$-cut of a fuzzy number, respectively. we use the va...

In this manuscript, we proposed a novel framework of the q-rung orthopair fuzzy subfield (q-ROFSF) and illustrate that every Pythagorean is certain field. We extend theory discuss its diverse basic algebraic characteristics in detail. Furthermore, prove some fundamental results establish helpful examples related to them. Moreover, present homomorphic images pre-images under field homomorphism. ...