The name by which Asoka is generally referred to in his inscriptions is "Priyadarsi." Option 4 is the correct answer.

Asoka, also known as Ashoka the Great, was an Indian emperor of the Maurya dynasty who ruled from 268 to 232 BCE. He is widely recognized for his conversion to Buddhism and his efforts to spread its teachings throughout his empire. Asoka left behind numerous inscriptions and edicts carved on pillars and rocks throughout his kingdom, which provide valuable insights into his reign and his dedication to promoting social welfare and ethical governance.

In his inscriptions, Asoka often refers to himself as "Devanampriya," which translates to "Beloved of the Gods." However, the name by which he is generally referred to in his inscriptions is "Priyadarsi," which can be translated as "He who regards everyone with affection." This name reflects Asoka`s commitment to compassion, benevolence, and the well-being of his subjects. Asoka saw himself as a ruler who cared deeply for his people and sought to govern with righteousness.

The term "Chakravarti," mentioned in Option 1, refers to a universal monarch or a king who rules over the entire world. While Asoka`s empire was vast and encompassed a significant portion of the Indian subcontinent, he did not proclaim himself as a Chakravarti in his inscriptions. Instead, he focused on his role as a compassionate and just ruler, rather than a conqueror seeking world domination.

Options 2 and 3, "Dharmadeva" and "Dharmakirti," are not commonly used to refer to Asoka in his inscriptions. While Asoka was a fervent advocate of dharma (righteousness) and his reign was marked by the promotion of Buddhist principles, these specific names are not the primary titles he used to identify himself in his inscriptions.

In conclusion, Asoka is generally referred to as "Priyadarsi" in his inscriptions. This name captures his commitment to compassion and his desire to govern with affection and benevolence towards his subjects.