On interval-valued $(\in_{\gamma },\in _{\gamma }\vee q_{\delta })$-fuzzy k-ideals in hemirings

Abstract

In this paper, we define interval-valued $(\in_{\gamma },\in_{\gamma }\vee q_{\delta })$-fuzzy k-subhemirings, interval-valued $(\in_{\gamma },\in_{\gamma }\vee q_{\delta })$-fuzzy k-ideals, interval-valued $(\in_{\gamma },\in_{\gamma }\vee q_{\delta})$-fuzzy k-interior ideals, interval-valued $(\in_{\gamma },\in_{\gamma }\vee q_{\delta })$-fuzzy k-bi-ideals, interval-valued $(\in_{\gamma },\in_{\gamma }\vee q_{\delta })$-fuzzy k-quasi-ideals, and k-semisimple hemirings. We also characterize k-regular, k-intra-regular, and k-semisimple hemirings by the properties of these interval-valued $(\in_{\gamma },\in_{\gamma}\vee q_{\delta })$-fuzzy k-ideals.