## Mathematics and Statistics Faculty and Staff Publications

#### Document Type

Book

#### Publication Date

2019

#### Abstract

Neutrosophic Sociology (or Neutrosociology) is the study of sociology using neutrosophic scientific methods.

The huge social data that we face in sociology is full of indeterminacy: it is vague, incomplete, contradictory, hybrid, biased, ignorant, redundant, superfluous, meaningless, ambiguous, unclear, etc.

That’s why the neutrosophic sciences (which deal with indeterminacy), through the process of neutrosophication, are involved, such as: neutrosophy (a new branch of philosophy), neutrosophic set, neutrosophic logic, neutrosophic probability and neutrosophic statistics, neutrosophic analysis, neutrosophic measure, and so on.

Neutrosophy studies only the triads (A, neutA, antiA), where A is an item or a concept, that make sense in the real world.

The process of neutrosophication means:

- converting a crisp concept {i.e. (1, 0, 0)-concept, which means concept that is 100% true, 0% indeterminate, and 0% false} into a neutrosophic concept {i.e. (T, I, F)-concept, which is T% true, I% indeterminate, and F% false – which more accurately reflects our imperfect, non-idealistic reality}, or more general into a refined (T1, T2, …; I1, I2, …; F1, F2,…)-concept;

- or the conversion of a crisp (1 or 0), fuzzy (T), or intuitionistic fuzzy (T, F) numbers into a neutrosophic number (T, I, F);

- or the conversion of a crisp (exact) number N into a neutrosophic number of the form N = a + bI, where a is the determinate part of number N and bI the indeterminate part of number N.

#### Language (ISO)

English

#### Keywords

neutrosophy, neutrosophic sociology, neutrosociology, neutrosophic logic, neutrosophic set, neutrosophic statistics, neutrosophic analysis, neutrosophic measure.

#### Recommended Citation

Smarandache, Florentin. "Introduction to Neutrosophic Sociology (Neutrosociology)." (2019). https://digitalrepository.unm.edu/math_fsp/28