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Emotions are the main component of a person's character and personality. They are used to communicate messages and information. Emotions are represented in various ways, such as by physical actions, verbal tone, written text, etc. We are interested in identifying the emotions presented in the written text and then to analyze them. Emotions are complex in nature. An emotion exhibits its own nature and characteristics. It may represent another emotion in a written text. The complex property of emotions is similar to the characteristics of complex numbers, which are represented by their real and imaginary parts. Various algorithms are used to identify and analyze emotions in the text. These techniques usually considered each emotion as a separate element with its own characteristics. The relationship between different emotions and their influence on the overall polarity of the text has not received much attention from researchers over a period. In this work, the main idea is to analyze the complex characteristics of emotions by identifying the relationships and dependencies that exist between them. To support this idea, theories of emotions such as Plutchik's wheel of emotions and Parrott's theory of emotions are utilized. According to these theories, emotions are classified into different groups and levels depending on their intensities and dependencies. The results of the research are described in detail in the later sections of the article.

The study of emotional text analysis today is one of the most interesting and developing areas. The emotions presented in the text and their analysis are a special topic of our interest. In this article, we will explore the various modal judgments in logic, the emotional model and their connection with the analysis of emotions. We will offer interpretations of some simple modalities in connection with information technologies for analyzing emotions in texts. We will expand the logic of the possible worlds; our modalities will better explain and comprehend this logic of the perceived state of the environment. We are presenting the logical formulas for defining the most common modalities for analyzing emotions from text. Our work is a continuation of the work done on modalities with more flexibility and completeness. The paper discusses the logical properties of emotional modalities, the logic of emotional evaluations and the definition of various modalities for analyzing emotions. We propose six different definitions of modalities and use three theorems to prove our hypothesis. This methodology also sets the directions for future research on logical modalities for analyzing emotions from text.

Emotion analysis from text is a topic of growing interest over recent years. It is because of the growth and availability of internet. The emotion analysis from text and the strength of the emotions in text plays an important role in understanding and predicting the future events. In this paper, we are identifying the relationship between the strength of emotions and the topic of the text. In our methodology, we extend the concept of Word space that we proposed in our previous works for analyzing emotions. In Word space distances between the words and their occurrences are measures. The emotion carry words with relatively high frequency and less distance between their occurrences are strong emotions. Whereas less frequent emotions that occurs far from, each other are considered less intense emotions in the text. We also made a comparison between the changes in intensity of emotions on same topics over period. The paper is divided into different section. In the methodology and conclusion section, the results of our research mentioned in detail.

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