A big difference is share capital. You need 50,000 CHF to form a
Swiss AG/SA (ideally 100,000 CHF to cover the full share capital), which is the company form most people want to form. In
Singapore, the minimum paid up share capital is 1 SGD.
From what I've seen, the running costs aren't markedly different. Switzerland might cost a bit more but not by any huge margin.
By and large, Singapore is more streamlined for non-resident founders and smaller companies than Switzerland. But if you want to form a company to build up a team locally, both are good but I'd say Switzerland has an upper hand in talent pool accessibility (basically all of EU/EEA without any work permit hassle).
As for banking, both Swiss and Singaporean companies without local presences or regional connections struggle to open accounts locally. Singapore might be a bit more easy-going than Switzerland, but not enough to be a key decision making factor.
And that's without taking taxes into consideration. Adds a whole new layer of complexity to the equation.