...different scholars disagree as to the number and combination of ideological features that qualify a party as right-wing extremist as well as the different typologies used to distinguish between parties within this family. According to Christina Liang, this "academic field is especially peculiar about its terminology. Each label carries with it a specific understanding of this family of political parties as well as a particular set of assumptions regarding their origins and electoral success".[19] In an extensive survey of the literature, academic Cas Mudde found 26 definitions of right-wing extremism that contained 57 different ideological features.[20] Alongside the theoretical debate concerning the nature of these parties there is also an empirical debate concerning who speaks for right-wing extremist parties and how to measure their ideology given that many reject the right-wing extremist label being applied to them.
One issue when it comes to terminology is whether parties should be labelled "radical" or "extreme",[21] a distinction that is made by the German Federal Constitutional Court when determining whether a party can be banned. Another question is the what the label "right" implies when applied to the extreme right, given that many parties labelled as right-wing extremist tended to advance neo-liberal and free market agendas as late as the 1980s but can now advocate economic policies more traditionally associated with the left, such as anti-globalisation, nationalisation and protectionism. One approach, drawing on the writings of Norberto Bobbio, argues that attitudes towards equality are what distinguish between left and right and therefore allow these parties to be positioned on the right of the political spectrum. There is also debate about how appropriate the labels fascist or neo-fascist are. According to Cas Mudde, "the labels Neo-Nazi and to a lesser extent neo-fascism are now used exclusively for parties and groups that explicitly state a desire to restore the Third Reich or quote historical National Socialism as their ideological influence". [21]
Jurgen Falter and Siegfried Schumann define right-wing extremism with reference to ten ideological features which they believe constitutes a core extreme right ideology, including hyper-nationalism, ethnocentralism, anti-communism, anti-parliamentarianism and anti-pluralism.[22]
Cas Mudde identified five key features – nationalism, racism, xenophobia, anti-democracy and the belief in a strong state – based on the fact that they appear in 50% of the definitions of the extreme-right that he surveyed.[23] However, in later writings he revisited his earlier assessment and argued in favour of a definition based upon three features: authoritarianism, populism and nativism.
According to Elizabeth Carter, the two defining features of a right-wing extremist party are: a rejection of fundamental human equality, which she asserts is what makes the party right-wing,[24] and a rejection of the fundamental democratic values of the state, which makes it extremist.