We prove that every Condorcet-consistent voting rule can be manipulated by a voter who completely reverses their preference ranking, assuming that there are at least 4 alternatives. This corrects an error and improves a result of [Sanver, M. R., & Zwicker, W. S. (2009). One-way monotonicity as a form of strategy-proofness. Int J Game Theory 38(4), 553-574.] For the case of precisely 4 alternati...

A new concept of pre-semicompact L -subsets is introduced, where L is a fuzzy lattice. The pre-semicompact L -subset is semi-precompact, hence it is also semicompact and strongly compact. It is described with collection of pre-semiclosed L -subset, constant α -net and α -level filter base. It is a good L -extension; it is hereditary for pre-semiclosed L -subset; it is finitely additive; it is i...

In the present paper, we study and investigate the properties of fuzzy soft α-connected sets, fuzzy soft α-separated sets and fuzzy soft α-s-connected sets and establish several interesting properties supported by examples. Moreover, we show that, a fuzzy soft α-disconnectedness is not an hereditary property in general. Finally, we show that the fuzzy α-irresolute surjective soft image of fuzzy...