The construction of generalised spherical fuzzy number(GSFN)is a reliable philosophy to design and understanding of vagueness and impreciseness.In this study,at first,the authors have defined the generalised spherical...The construction of generalised spherical fuzzy number(GSFN)is a reliable philosophy to design and understanding of vagueness and impreciseness.In this study,at first,the authors have defined the generalised spherical fuzzy set and discussed its several properties.Then,a new score and accuracy functions have been introduced in the generalised spherical fuzzy environment which leads to a new method of conversion of fuzzy number into a crisp number.New exponential operational law has been defined for GSFNs where the bases are positive real numbers&components are GSFNs and its various algebraic properties have been studied explicitly.Using this exponential operational law,a generalised spherical weighted exponential averaging operator has been proposed,which is used to develop a multi-criteria group decision-making(MCGDM)method in the generalised spherical fuzzy environment.The newly developed MCGDM has been demonstrated through a real-life problem and its effectiveness and rationality have been shown through sensitivity analysis.展开更多
In this study,the authors envisage the neutrosophic number from various distinct rational perspectives and viewpoints to give it a look of a conundrum.They focused and analysed neutrosophic fuzzy numbers when indeterm...In this study,the authors envisage the neutrosophic number from various distinct rational perspectives and viewpoints to give it a look of a conundrum.They focused and analysed neutrosophic fuzzy numbers when indeterminacy and falsity functions are dependent on each other,which serves an indispensable role for the uncertainty concept.Additionally,the idea of cylindrical neutrosophic single-valued number is focused here,when the indeterminacy and falsity functions are dependent to each other using an influx of different logical and innovative graphical representation.They also developed the score and accuracy function for this particular cylindrical neutrosophic single-valued number and analysed some real-life problems like networking critical path model problem and minimal spanning tree problem of operation research field when the numbers are in cylindrical neutrosophic ambiance.They also introduced a multi-criterion group decision-making problem in this cylindrical neutrosophic domain.This noble thought will help us to solve a plethora of daily life problems in the neutrosophic arena.展开更多
文摘The construction of generalised spherical fuzzy number(GSFN)is a reliable philosophy to design and understanding of vagueness and impreciseness.In this study,at first,the authors have defined the generalised spherical fuzzy set and discussed its several properties.Then,a new score and accuracy functions have been introduced in the generalised spherical fuzzy environment which leads to a new method of conversion of fuzzy number into a crisp number.New exponential operational law has been defined for GSFNs where the bases are positive real numbers&components are GSFNs and its various algebraic properties have been studied explicitly.Using this exponential operational law,a generalised spherical weighted exponential averaging operator has been proposed,which is used to develop a multi-criteria group decision-making(MCGDM)method in the generalised spherical fuzzy environment.The newly developed MCGDM has been demonstrated through a real-life problem and its effectiveness and rationality have been shown through sensitivity analysis.
文摘In this study,the authors envisage the neutrosophic number from various distinct rational perspectives and viewpoints to give it a look of a conundrum.They focused and analysed neutrosophic fuzzy numbers when indeterminacy and falsity functions are dependent on each other,which serves an indispensable role for the uncertainty concept.Additionally,the idea of cylindrical neutrosophic single-valued number is focused here,when the indeterminacy and falsity functions are dependent to each other using an influx of different logical and innovative graphical representation.They also developed the score and accuracy function for this particular cylindrical neutrosophic single-valued number and analysed some real-life problems like networking critical path model problem and minimal spanning tree problem of operation research field when the numbers are in cylindrical neutrosophic ambiance.They also introduced a multi-criterion group decision-making problem in this cylindrical neutrosophic domain.This noble thought will help us to solve a plethora of daily life problems in the neutrosophic arena.
