HyperGroupoid Homomorphism

Florentin Smarandache

Then if you believe that T = 0.60, automatically F = 1- 0.60 = 0.40.

Example: Somebody else, not in touch with you and not knowing your belief (therefore a source that is independent from you) strongly believes that there will be a tie game, suppose he says that I = 0.90. "I" does not depend on T and F. If you change T = 0.70, F should be changed too because it is dependent of T, so F = 1-0.70 = 0.30.

But "I" is independent of both T and F, so "I" may remain the same.

Surely, the second source may change "I" too, but it does not depend on none of T and F.

HyperGroupoid Homomorphism

Florentin Smarandache

HyperGroupoid Homomorphism is similar to the Groupoid Homomorphism. a) either inclusion (weak homomorphism) - in this paper is called just homomorphism; b) or equality (strong homomorphism) - in this paper it is called good homomorphism.

We may define for each of them the Neutro and Anti using the same definitions as for Operations and Axioms, going by degree of inclusion, degree of indeterminacy (or not knowing), and degree of noninclusion.

So we get:

Weak-Homomorphism, NeutroWeak-Homomorphism, AntiWeak-Homomorphism.