An Epistemic Logic without K/B Operators

Modal operators with regard to epistemic and doxastic logic, epistemic and doxastic modal operators, are referred to as K (knowledge) and B (belief) operators, respectively. In this research, we introduce a many-valued semantics for epistemic logic without K/B operators. Our semantics provides a similar method to build an epistemic model without mutual beliefs and modal operators. Moreover, we provide the relationship among epistemic logic, classical logic, Boolean algebra and strong Kleene logic.